Problems 14901 to 15000

Table 6.299: Main lookup table sequentially arranged


#	ODE	Mathematica	Maple	Sympy

14901	\[ {} y^{\prime } = 3-\sin \left (y\right ) \]	✓	✓	✓

14902	\[ {} y^{\prime }+4 y = {\mathrm e}^{2 x} \]	✓	✓	✓

14903	\[ {} x y^{\prime } = \arcsin \left (x^{2}\right ) \]	✓	✓	✓

14904	\[ {} y y^{\prime } = 2 x \]	✓	✓	✓

14905	\[ {} y^{\prime \prime } = \frac {1+x}{x -1} \]	✓	✓	✓

14906	\[ {} x^{2} y^{\prime \prime } = 1 \]	✓	✓	✓

14907	\[ {} y^{2} y^{\prime \prime } = 8 x^{2} \]	✗	✗	✗

14908	\[ {} y^{\prime \prime }+3 y^{\prime }+8 y = {\mathrm e}^{-x^{2}} \]	✓	✓	✓

14909	\[ {} x^{2} y^{\prime \prime }+3 x y^{\prime } = 0 \]	✓	✓	✓

14910	\[ {} y^{\prime } = 4 x^{3} \]	✓	✓	✓

14911	\[ {} y^{\prime } = 20 \,{\mathrm e}^{-4 x} \]	✓	✓	✓

14912	\[ {} x y^{\prime }+\sqrt {x} = 2 \]	✓	✓	✓

14913	\[ {} \sqrt {x +4}\, y^{\prime } = 1 \]	✓	✓	✓

14914	\[ {} y^{\prime } = x \cos \left (x^{2}\right ) \]	✓	✓	✓

14915	\[ {} y^{\prime } = x \cos \left (x \right ) \]	✓	✓	✓

14916	\[ {} x = \left (x^{2}-9\right ) y^{\prime } \]	✓	✓	✓

14917	\[ {} 1 = \left (x^{2}-9\right ) y^{\prime } \]	✓	✓	✓

14918	\[ {} 1 = x^{2}-9 y^{\prime } \]	✓	✓	✓

14919	\[ {} y^{\prime \prime } = \sin \left (2 x \right ) \]	✓	✓	✓

14920	\[ {} y^{\prime \prime }-3 = x \]	✓	✓	✓

14921	\[ {} y^{\prime \prime \prime \prime } = 1 \]	✓	✓	✓

14922	\[ {} y^{\prime } = 40 \,{\mathrm e}^{2 x} x \]	✓	✓	✓

14923	\[ {} \left (x +6\right )^{{1}/{3}} y^{\prime } = 1 \]	✓	✓	✓

14924	\[ {} y^{\prime } = \frac {x -1}{1+x} \]	✓	✓	✓

14925	\[ {} x y^{\prime }+2 = \sqrt {x} \]	✓	✓	✓

14926	\[ {} y^{\prime } \cos \left (x \right )-\sin \left (x \right ) = 0 \]	✓	✓	✓

14927	\[ {} \left (x^{2}+1\right ) y^{\prime } = 1 \]	✓	✓	✓

14928	\[ {} x y^{\prime \prime }+2 = \sqrt {x} \]	✓	✓	✓

14929	\[ {} y^{\prime } = \sin \left (\frac {x}{2}\right ) \]	✓	✓	✓

14930	\[ {} y^{\prime } = \sin \left (\frac {x}{2}\right ) \]	✓	✓	✓

14931	\[ {} y^{\prime } = \sin \left (\frac {x}{2}\right ) \]	✓	✓	✓

14932	\[ {} y^{\prime } = 3 \sqrt {x +3} \]	✓	✓	✓

14933	\[ {} y^{\prime } = 3 \sqrt {x +3} \]	✓	✓	✓

14934	\[ {} y^{\prime } = 3 \sqrt {x +3} \]	✓	✓	✓

14935	\[ {} y^{\prime } = 3 \sqrt {x +3} \]	✓	✓	✓

14936	\[ {} y^{\prime } = x \,{\mathrm e}^{-x^{2}} \]	✓	✓	✓

14937	\[ {} y^{\prime } = \frac {x}{\sqrt {x^{2}+5}} \]	✓	✓	✓

14938	\[ {} y^{\prime } = \frac {1}{x^{2}+1} \]	✓	✓	✓

14939	\[ {} y^{\prime } = {\mathrm e}^{-9 x^{2}} \]	✓	✓	✓

14940	\[ {} x y^{\prime } = \sin \left (x \right ) \]	✓	✓	✓

14941	\[ {} x y^{\prime } = \sin \left (x^{2}\right ) \]	✓	✓	✓

14942	\[ {} y^{\prime } = \left \{\begin {array}{cc} 0 & x <0 \\ 1 & 0\le x \end {array}\right . \]	✓	✓	✓

14943	\[ {} y^{\prime } = \left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x \end {array}\right . \]	✓	✓	✓

14944	\[ {} y^{\prime } = \left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x <2 \\ 0 & 2\le x \end {array}\right . \]	✓	✓	✓

14945	\[ {} y^{\prime }+3 x y = 6 x \]	✓	✓	✓

14946	\[ {} \sin \left (x +y\right )-y y^{\prime } = 0 \]	✗	✗	✗

14947	\[ {} y^{\prime }-y^{3} = 8 \]	✓	✓	✓

14948	\[ {} x^{2} y^{\prime }+x y^{2} = x \]	✓	✓	✓

14949	\[ {} y^{\prime }-y^{2} = x \]	✓	✓	✗

14950	\[ {} y^{3}-25 y+y^{\prime } = 0 \]	✓	✓	✓

14951	\[ {} \left (x -2\right ) y^{\prime } = 3+y \]	✓	✓	✓

14952	\[ {} \left (y-2\right ) y^{\prime } = x -3 \]	✓	✓	✓

14953	\[ {} y^{\prime }+2 y-y^{2} = -2 \]	✓	✓	✓

14954	\[ {} y^{\prime }+\left (8-x \right ) y-y^{2} = -8 x \]	✓	✓	✗

14955	\[ {} y^{\prime } = 2 \sqrt {y} \]	✓	✓	✓

14956	\[ {} y^{\prime } = 3 y^{2}-y^{2} \sin \left (x \right ) \]	✓	✓	✓

14957	\[ {} y^{\prime } = 3 x -y \sin \left (x \right ) \]	✓	✓	✓

14958	\[ {} x y^{\prime } = \left (x -y\right )^{2} \]	✓	✓	✗

14959	\[ {} y^{\prime } = \sqrt {x^{2}+1} \]	✓	✓	✓

14960	\[ {} y^{\prime }+4 y = 8 \]	✓	✓	✓

14961	\[ {} y^{\prime }+x y = 4 x \]	✓	✓	✓

14962	\[ {} y^{\prime }+4 y = x^{2} \]	✓	✓	✓

14963	\[ {} y^{\prime } = x y-3 x -2 y+6 \]	✓	✓	✓

14964	\[ {} y^{\prime } = \sin \left (x +y\right ) \]	✓	✓	✓

14965	\[ {} y y^{\prime } = {\mathrm e}^{x -3 y^{2}} \]	✓	✓	✓

14966	\[ {} y^{\prime } = \frac {x}{y} \]	✓	✓	✓

14967	\[ {} y^{\prime } = y^{2}+9 \]	✓	✓	✓

14968	\[ {} x y y^{\prime } = y^{2}+9 \]	✓	✓	✓

14969	\[ {} y^{\prime } = \frac {1+y^{2}}{x^{2}+1} \]	✓	✓	✓

14970	\[ {} \cos \left (y\right ) y^{\prime } = \sin \left (x \right ) \]	✓	✓	✓

14971	\[ {} y^{\prime } = {\mathrm e}^{2 x -3 y} \]	✓	✓	✓

14972	\[ {} y^{\prime } = \frac {x}{y} \]	✓	✓	✓

14973	\[ {} y^{\prime } = 2 x -1+2 x y-y \]	✓	✓	✓

14974	\[ {} y y^{\prime } = x y^{2}+x \]	✓	✓	✓

14975	\[ {} y y^{\prime } = 3 \sqrt {x y^{2}+9 x} \]	✓	✓	✗

14976	\[ {} y^{\prime } = x y-4 x \]	✓	✓	✓

14977	\[ {} y^{\prime }-4 y = 2 \]	✓	✓	✓

14978	\[ {} y y^{\prime } = x y^{2}-9 x \]	✓	✓	✓

14979	\[ {} y^{\prime } = \sin \left (y\right ) \]	✓	✓	✗

14980	\[ {} y^{\prime } = {\mathrm e}^{x +y^{2}} \]	✓	✓	✓

14981	\[ {} y^{\prime } = 200 y-2 y^{2} \]	✓	✓	✓

14982	\[ {} y^{\prime } = x y-4 x \]	✓	✓	✓

14983	\[ {} y^{\prime } = x y-3 x -2 y+6 \]	✓	✓	✓

14984	\[ {} y^{\prime } = 3 y^{2}-y^{2} \sin \left (x \right ) \]	✓	✓	✓

14985	\[ {} y^{\prime } = \tan \left (y\right ) \]	✓	✓	✓

14986	\[ {} y^{\prime } = \frac {y}{x} \]	✓	✓	✓

14987	\[ {} y^{\prime } = \frac {6 x^{2}+4}{3 y^{2}-4 y} \]	✓	✓	✗

14988	\[ {} \left (x^{2}+1\right ) y^{\prime } = 1+y^{2} \]	✓	✓	✓

14989	\[ {} \left (-1+y^{2}\right ) y^{\prime } = 4 x y^{2} \]	✓	✓	✓

14990	\[ {} y^{\prime } = {\mathrm e}^{-y} \]	✓	✓	✓

14991	\[ {} y^{\prime } = {\mathrm e}^{-y}+1 \]	✓	✓	✓

14992	\[ {} y^{\prime } = 3 x y^{3} \]	✓	✓	✓

14993	\[ {} y^{\prime } = \frac {2+\sqrt {x}}{2+\sqrt {y}} \]	✓	✓	✗

14994	\[ {} y^{\prime }-3 x^{2} y^{2} = -3 x^{2} \]	✓	✓	✓

14995	\[ {} y^{\prime }-3 x^{2} y^{2} = 3 x^{2} \]	✓	✓	✓

14996	\[ {} y^{\prime } = 200 y-2 y^{2} \]	✓	✓	✓

14997	\[ {} y^{\prime }-2 y = -10 \]	✓	✓	✓

14998	\[ {} y y^{\prime } = \sin \left (x \right ) \]	✓	✓	✓

14999	\[ {} y^{\prime } = 2 x -1+2 x y-y \]	✓	✓	✓

15000	\[ {} x y^{\prime } = y^{2}-y \]	✓	✓	✓

6.150 Problems 14901 to 15000