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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} x y^{\prime } = \left (1+y^{2}\right ) \left (x^{2}+\arctan \left (y\right )\right )
\]
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\[
{} x y^{\prime } = {\mathrm e}^{\frac {y}{x}} x +y
\]
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\[
{} x y^{\prime } = x +y+{\mathrm e}^{\frac {y}{x}} x
\]
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\[
{} x y^{\prime } = y-2 x \tanh \left (\frac {y}{x}\right )
\]
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\[
{} x y^{\prime }+n y = f \left (x \right ) g \left (x^{n} y\right )
\]
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\[
{} x y^{\prime } = y f \left (x^{m} y^{n}\right )
\]
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\[
{} 2 x y^{\prime }+1 = 4 i x y+y^{2}
\]
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\[
{} 3 x y^{\prime } = 3 x^{{2}/{3}}+\left (1-3 y\right ) y
\]
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\[
{} x^{2} y^{\prime }+a \,x^{2}+b x y+c y^{2} = 0
\]
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\[
{} x^{2} y^{\prime } = a +b \,x^{n}+x^{2} y^{2}
\]
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\[
{} x^{2} y^{\prime }+2+a x \left (1-x y\right )-x^{2} y^{2} = 0
\]
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\[
{} x^{2} y^{\prime } = a +b \,x^{n}+c \,x^{2} y^{2}
\]
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\[
{} x^{2} y^{\prime } = a +b x y+c \,x^{4} y^{2}
\]
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\[
{} x^{2} y^{\prime } = a \,x^{2} y^{2}-a y^{3}
\]
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\[
{} x^{2} y^{\prime }+y^{2} a +b \,x^{2} y^{3} = 0
\]
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\[
{} x^{2} y^{\prime } = \sec \left (y\right )+3 x \tan \left (y\right )
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime } = n \left (1-2 x y+y^{2}\right )
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime } = 1+y^{2}-2 x y \left (1+y^{2}\right )
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime }+x \sin \left (y\right ) \cos \left (y\right ) = x \left (x^{2}+1\right ) \cos \left (y\right )^{2}
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime } = 1+x^{2}-y \,\operatorname {arccot}\left (x \right )
\]
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\[
{} \left (a^{2}+x^{2}\right ) y^{\prime } = a^{2}+3 x y-2 y^{2}
\]
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\[
{} 2 x^{2} y^{\prime } = 2 x y+\left (1-x \cot \left (x \right )\right ) \left (x^{2}-y^{2}\right )
\]
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\[
{} 2 x \left (1-x \right ) y^{\prime }+x +\left (1-x \right ) y^{2} = 0
\]
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\[
{} a \,x^{2} y^{\prime } = x^{2}+a x y+b^{2} y^{2}
\]
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\[
{} \left (b x +a \right )^{2} y^{\prime }+c y^{2}+\left (b x +a \right ) y^{3} = 0
\]
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\[
{} x^{3} y^{\prime } = \cos \left (y\right ) \left (\cos \left (y\right )-2 x^{2} \sin \left (y\right )\right )
\]
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\[
{} x \left (-x^{2}+1\right ) y^{\prime }+x^{2}+\left (-x^{2}+1\right ) y^{2} = 0
\]
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\[
{} x \left (c \,x^{2}+b x +a \right ) y^{\prime }+x^{2}-\left (c \,x^{2}+b x +a \right ) y = y^{2}
\]
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\[
{} x^{4} y^{\prime }+x^{3} y+\csc \left (x y\right ) = 0
\]
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\[
{} \left (c \,x^{2}+b x +a \right )^{2} \left (y^{\prime }+y^{2}\right )+A = 0
\]
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\[
{} x^{7} y^{\prime }+5 x^{3} y^{2}+2 \left (x^{2}+1\right ) y^{3} = 0
\]
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\[
{} x^{n} y^{\prime } = a +b \,x^{n -1} y
\]
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\[
{} x^{n} y^{\prime } = x^{2 n -1}-y^{2}
\]
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\[
{} x^{n} y^{\prime }+x^{2 n -2}+y^{2}+\left (1-n \right ) x^{n -1} = 0
\]
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\[
{} x^{n} y^{\prime } = a^{2} x^{2 n -2}+b^{2} y^{2}
\]
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\[
{} x^{n} y^{\prime } = x^{n -1} \left (a \,x^{2 n}+n y-b y^{2}\right )
\]
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\[
{} x^{k} y^{\prime } = a \,x^{m}+b y^{n}
\]
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\[
{} x^{{3}/{2}} y^{\prime } = a +b \,x^{{3}/{2}} y^{2}
\]
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\[
{} y^{\prime } \left (a +\cos \left (\frac {x}{2}\right )^{2}\right ) = y \tan \left (\frac {x}{2}\right ) \left (1+a +\cos \left (\frac {x}{2}\right )^{2}-y\right )
\]
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\[
{} \left (\operatorname {a0} +\operatorname {a1} \sin \left (x \right )^{2}\right ) y^{\prime }+\operatorname {a2} x \left (\operatorname {a3} +\operatorname {a1} \sin \left (x \right )^{2}\right )+\operatorname {a1} y \sin \left (2 x \right ) = 0
\]
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\[
{} y y^{\prime }+x^{3}+y = 0
\]
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\[
{} y y^{\prime }+a x +b y = 0
\]
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\[
{} y y^{\prime }+f \left (x \right ) = g \left (x \right ) y
\]
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\[
{} y y^{\prime }+x +f \left (x^{2}+y^{2}\right ) g \left (x \right ) = 0
\]
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\[
{} \left (y+1\right ) y^{\prime } = x +y
\]
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\[
{} \left (x -y\right ) y^{\prime } = \left (2 x y+1\right ) y
\]
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\[
{} \left (4+2 x -y\right ) y^{\prime }+5+x -2 y = 0
\]
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\[
{} \left (1-3 x +y\right ) y^{\prime } = 2 x -2 y
\]
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\[
{} \left (6-4 x -y\right ) y^{\prime } = 2 x -y
\]
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\[
{} \left (1+5 x -y\right ) y^{\prime }+5+x -5 y = 0
\]
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\[
{} \left (a +b x +y\right ) y^{\prime }+a -b x -y = 0
\]
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\[
{} \left (y-\cot \left (x \right ) \csc \left (x \right )\right ) y^{\prime }+\csc \left (x \right ) \left (1+\cos \left (x \right ) y\right ) y = 0
\]
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\[
{} \left (1+x +2 y\right ) y^{\prime }+7+x -4 y = 0
\]
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\[
{} \left (x^{3}+2 y\right ) y^{\prime } = 3 x \left (2-x y\right )
\]
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\[
{} \left (\tan \left (x \right ) \sec \left (x \right )-2 y\right ) y^{\prime }+\sec \left (x \right ) \left (1+2 \sin \left (x \right ) y\right ) = 0
\]
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\[
{} \left (x \,{\mathrm e}^{-x}-2 y\right ) y^{\prime } = 2 x \,{\mathrm e}^{-2 x}-\left ({\mathrm e}^{-x}+x \,{\mathrm e}^{-x}-2 y\right ) y
\]
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\[
{} \left (x -3 y\right ) y^{\prime }+4+3 x -y = 0
\]
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\[
{} \left (11-11 x -4 y\right ) y^{\prime } = 62-8 x -25 y
\]
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\[
{} \left (6+3 x +5 y\right ) y^{\prime } = 2+x +7 y
\]
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\[
{} \left (x +4 x^{3}+5 y\right ) y^{\prime }+7 x^{3}+3 x^{2} y+4 y = 0
\]
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\[
{} \left (1+x +9 y\right ) y^{\prime }+1+x +5 y = 0
\]
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\[
{} \left (a x +b y\right ) y^{\prime }+x = 0
\]
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\[
{} \left (a x +b y\right ) y^{\prime }+y = 0
\]
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\[
{} \left (a x +b y\right ) y^{\prime } = b x +a y
\]
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\[
{} x y y^{\prime } = x^{2}-x y+y^{2}
\]
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\[
{} x y y^{\prime }+2 x^{2}-2 x y-y^{2} = 0
\]
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\[
{} x y y^{\prime } = a \,x^{n}+b y^{2}
\]
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\[
{} x y y^{\prime }+x^{2} {\mathrm e}^{-\frac {2 y}{x}}-y^{2} = 0
\]
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\[
{} x \left (4+y\right ) y^{\prime } = 2 x +2 y+y^{2}
\]
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\[
{} x \left (a +y\right ) y^{\prime }+b x +c y = 0
\]
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\[
{} x \left (x +y\right ) y^{\prime } = x^{2}+y^{2}
\]
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\[
{} \left (a +x \left (x +y\right )\right ) y^{\prime } = b \left (x +y\right ) y
\]
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\[
{} x \left (x^{3}+y\right ) y^{\prime } = \left (x^{3}-y\right ) y
\]
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\[
{} x \left (2 x^{3}+y\right ) y^{\prime } = \left (2 x^{3}-y\right ) y
\]
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\[
{} \left (3-x +2 x y\right ) y^{\prime }+3 x^{2}-y+y^{2} = 0
\]
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\[
{} x \left (1+x -2 y\right ) y^{\prime }+\left (1-2 x +y\right ) y = 0
\]
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\[
{} x \left (1-x -2 y\right ) y^{\prime }+\left (2 x +y+1\right ) y = 0
\]
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\[
{} \left (3+6 x y+x^{2}\right ) y^{\prime }+2 x +2 x y+3 y^{2} = 0
\]
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\[
{} 3 x \left (x +2 y\right ) y^{\prime }+x^{3}+3 y \left (y+2 x \right ) = 0
\]
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\[
{} x \left (x -a y\right ) y^{\prime } = y \left (-a x +y\right )
\]
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\[
{} x \left (x^{n}+a y\right ) y^{\prime }+\left (b +c y\right ) y^{2} = 0
\]
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\[
{} \left (1-x^{2} y\right ) y^{\prime }+1-x y^{2} = 0
\]
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\[
{} \left (1-x^{2} y\right ) y^{\prime }-1+x y^{2} = 0
\]
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\[
{} x \left (2+x y\right ) y^{\prime } = 3+2 x^{3}-2 y-x y^{2}
\]
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\[
{} \left (1-x^{3} y\right ) y^{\prime } = x^{2} y^{2}
\]
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\[
{} x \left (3-2 x^{2} y\right ) y^{\prime } = 4 x -3 y+3 x^{2} y^{2}
\]
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\[
{} x \left (3+2 x^{2} y\right ) y^{\prime }+\left (4+3 x^{2} y\right ) y = 0
\]
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\[
{} x^{7} y y^{\prime } = 2 x^{2}+2+5 x^{3} y
\]
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\[
{} \left (\operatorname {g0} \left (x \right )+y \operatorname {g1} \left (x \right )\right ) y^{\prime } = \operatorname {f0} \left (x \right )+\operatorname {f1} \left (x \right ) y+\operatorname {f2} \left (x \right ) y^{2}+\operatorname {f3} \left (x \right ) y^{3}
\]
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\[
{} \left (x +y^{2}\right ) y^{\prime }+y = b x +a
\]
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\[
{} \left (x -y^{2}\right ) y^{\prime } = x^{2}-y
\]
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\[
{} \left (x^{2}-y^{2}\right ) y^{\prime }+x \left (x +2 y\right ) = 0
\]
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\[
{} \left (x^{2}+y^{2}\right ) y^{\prime }+2 x \left (y+2 x \right ) = 0
\]
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\[
{} \left (a^{2}+x^{2}+y^{2}\right ) y^{\prime }+b^{2}+x^{2}+2 x y = 0
\]
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\[
{} \left (x^{2}+y^{2}+x \right ) y^{\prime } = y
\]
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\[
{} \left (3 x^{2}-y^{2}\right ) y^{\prime } = 2 x y
\]
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\[
{} y \left (y+1\right ) y^{\prime } = x \left (1+x \right )
\]
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\[
{} \left (x +2 y+y^{2}\right ) y^{\prime }+y \left (y+1\right )+\left (x +y\right )^{2} y^{2} = 0
\]
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\[
{} \left (x^{3}+2 y-y^{2}\right ) y^{\prime }+3 x^{2} y = 0
\]
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\[
{} \left (x^{2}+2 x y-y^{2}\right ) y^{\prime }+x^{2}-2 x y+y^{2} = 0
\]
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