Problems 7801 to 7900

Table 4.995: First order ode linear in derivative


#	ODE	Mathematica	Maple	Sympy

22134	\[ {} y^{\prime } = \frac {2 x y}{-x^{2}+y^{2}} \]	✓	✓	✗

22135	\[ {} y^{\prime } = \frac {y}{x +\sqrt {x y}} \]	✓	✓	✗

22136	\[ {} y^{\prime } = \frac {y^{2}}{x y+\left (x y^{2}\right )^{{1}/{3}}} \]	✓	✓	✗

22137	\[ {} y^{\prime } = \frac {x^{4}+3 x^{2} y^{2}+y^{4}}{x^{3} y} \]	✓	✓	✗

22138	\[ {} \left (x^{2}+1\right ) y^{\prime }+2 x y = 0 \]	✓	✓	✓

22139	\[ {} x +\sin \left (y\right )+\left (x \cos \left (y\right )-2 y\right ) y^{\prime } = 0 \]	✓	✓	✗

22140	\[ {} x y+x^{2}-y^{\prime } = 0 \]	✓	✓	✓

22141	\[ {} y^{\prime } = \frac {2+y \,{\mathrm e}^{x y}}{2 y-x \,{\mathrm e}^{x y}} \]	✓	✓	✗

22142	\[ {} y^{\prime } = -\frac {2 x y}{x^{2}+1} \]	✓	✓	✓

22143	\[ {} 2 x y+x +\left (y+x^{2}\right ) y^{\prime } = 0 \]	✓	✓	✓

22144	\[ {} y+2 x y^{3}+\left (1+3 x^{2} y^{2}+x \right ) y^{\prime } = 0 \]	✓	✓	✗

22145	\[ {} y \,{\mathrm e}^{x y}+x \,{\mathrm e}^{x y} y^{\prime } = 0 \]	✓	✓	✓

22146	\[ {} x \,{\mathrm e}^{x y}+y \,{\mathrm e}^{x y} y^{\prime } = 0 \]	✓	✓	✓

22147	\[ {} 3 x^{2} y^{2}+\left (2 x^{3} y+4 y^{3}\right ) y^{\prime } = 0 \]	✓	✓	✓

22148	\[ {} x y^{\prime }+y = 0 \]	✓	✓	✓

22149	\[ {} \left (x +y\right ) y^{\prime }+x -y = 0 \]	✓	✓	✓

22150	\[ {} \sin \left (x \right ) y+y \cos \left (x \right ) x +\left (x \sin \left (x \right )+1\right ) y^{\prime } = 0 \]	✓	✓	✓

22151	\[ {} y-x y^{\prime } = 0 \]	✓	✓	✓

22152	\[ {} x y^{\prime }-y+y^{2} = 0 \]	✓	✓	✓

22153	\[ {} y-x y^{2}+\left (x^{2} y^{2}+x \right ) y^{\prime } = 0 \]	✓	✓	✗

22154	\[ {} y^{\prime } = \frac {3 y x^{2}}{x^{3}+2 y^{4}} \]	✓	✓	✓

22155	\[ {} y^{\prime } = 2 x y-x \]	✓	✓	✓

22156	\[ {} y^{\prime } = \frac {x y^{2}-y}{x} \]	✓	✓	✓

22157	\[ {} y^{2}+y y^{\prime } x = 0 \]	✓	✓	✓

22158	\[ {} y+1-x y^{\prime } = 0 \]	✓	✓	✓

22159	\[ {} y+\left (1-x \right ) y^{\prime } = 0 \]	✓	✓	✓

22160	\[ {} x^{2}+y+y^{2}-x y^{\prime } = 0 \]	✓	✓	✓

22161	\[ {} y+x^{3} y^{3}+x y^{\prime } = 0 \]	✓	✓	✓

22162	\[ {} y+x^{4} y^{2}+x y^{\prime } = 0 \]	✓	✓	✓

22163	\[ {} 3 x^{2} y-x^{2}+y^{\prime } = 0 \]	✓	✓	✓

22164	\[ {} 1-2 y y^{\prime } x = 0 \]	✓	✓	✓

22165	\[ {} 2 x y+y^{2} y^{\prime } = 0 \]	✓	✓	✓

22166	\[ {} 3 x y^{\prime }+y = 0 \]	✓	✓	✓

22167	\[ {} 2 x y^{2}+\frac {x}{y^{2}}+4 x^{2} y y^{\prime } = 0 \]	✓	✓	✓

22168	\[ {} x y^{2}+\left (x^{2} y^{2}+x^{2} y\right ) y^{\prime } = 0 \]	✓	✓	✓

22169	\[ {} x y^{2}+x^{2} y y^{\prime } = 0 \]	✓	✓	✓

22170	\[ {} y+x^{3}+x y^{2}-x y^{\prime } = 0 \]	✓	✓	✓

22171	\[ {} y^{2} x^{3}-y+\left (x^{2} y^{4}-x \right ) y^{\prime } = 0 \]	✓	✓	✗

22172	\[ {} 3 x^{2} y^{2}+\left (2 x^{3} y+y^{4} x^{3}\right ) y^{\prime } = 0 \]	✓	✓	✓

22173	\[ {} y^{\prime }-3 y = 6 \]	✓	✓	✓

22174	\[ {} y^{\prime }-2 x y = x \]	✓	✓	✓

22175	\[ {} y^{\prime }+\frac {4 y}{x} = x^{4} \]	✓	✓	✓

22176	\[ {} y^{\prime }+y = \sin \left (x \right ) \]	✓	✓	✓

22177	\[ {} y^{\prime }-5 y = 0 \]	✓	✓	✓

22178	\[ {} y^{\prime }+y = \sin \left (x \right ) \]	✓	✓	✓

22179	\[ {} y^{\prime }+x y = x y^{2} \]	✓	✓	✓

22180	\[ {} y^{\prime }-\frac {3 y}{x} = x^{4} y^{{1}/{3}} \]	✓	✓	✓

22181	\[ {} y^{\prime }-7 y = {\mathrm e}^{x} \]	✓	✓	✓

22182	\[ {} y^{\prime }-7 y = 14 x \]	✓	✓	✓

22183	\[ {} y^{\prime }-7 y = \sin \left (2 x \right ) \]	✓	✓	✓

22184	\[ {} y^{\prime }+x^{2} y = x^{2} \]	✓	✓	✓

22185	\[ {} y^{\prime }+\frac {2 y}{x} = x \]	✓	✓	✓

22186	\[ {} y^{\prime }+6 x y = 0 \]	✓	✓	✓

22187	\[ {} y^{\prime }-\frac {3 y}{x^{2}} = \frac {1}{x^{2}} \]	✓	✓	✓

22188	\[ {} y^{\prime } = \cos \left (x \right ) \]	✓	✓	✓

22189	\[ {} y^{\prime }+2 x y = 2 x^{3} \]	✓	✓	✓

22190	\[ {} y^{\prime }+y = y^{2} \]	✓	✓	✓

22191	\[ {} y^{\prime }+x y = 6 x \sqrt {y} \]	✓	✓	✓

22192	\[ {} y^{\prime }+\frac {2 y}{x} = -x^{9} y^{5} \]	✓	✓	✓

22196	\[ {} 3 y^{\prime }+x y = {\mathrm e}^{-x^{2}} \]	✓	✓	✓

22200	\[ {} y^{\prime }+5 y = 0 \]	✓	✓	✓

22203	\[ {} y^{\prime }-2 y = x y \]	✓	✓	✓

22206	\[ {} y^{\prime }-\frac {2 y}{x} = 0 \]	✓	✓	✗

22207	\[ {} y^{\prime }-\frac {2 y}{x} = 0 \]	✓	✓	✓

22208	\[ {} y^{\prime }-2 y = 0 \]	✓	✓	✓

22229	\[ {} y^{\prime }-5 y = 0 \]	✓	✓	✓

22250	\[ {} y^{\prime }-5 y = 2 \,{\mathrm e}^{x} \]	✓	✓	✓

22251	\[ {} y^{\prime }-5 y = \left (x -1\right ) \sin \left (x \right )+\left (1+x \right ) \cos \left (x \right ) \]	✓	✓	✓

22252	\[ {} y^{\prime }-5 y = 3 \,{\mathrm e}^{x}-2 x +1 \]	✓	✓	✓

22253	\[ {} y^{\prime }-5 y = x^{2} {\mathrm e}^{x}-x \,{\mathrm e}^{5 x} \]	✓	✓	✓

22259	\[ {} y^{\prime }-y = {\mathrm e}^{x} \]	✓	✓	✓

22260	\[ {} y^{\prime }-y = x \,{\mathrm e}^{2 x}+1 \]	✓	✓	✓

22261	\[ {} y^{\prime }-y = \sin \left (x \right )+\cos \left (2 x \right ) \]	✓	✓	✓

22266	\[ {} y^{\prime }+\frac {4 y}{x} = x^{4} \]	✓	✓	✓

22343	\[ {} y^{\prime }-5 y = 0 \]	✓	✓	✓

22344	\[ {} y^{\prime }-5 y = {\mathrm e}^{5 x} \]	✓	✓	✓

22345	\[ {} y^{\prime }-5 y = 0 \]	✓	✓	✓

22346	\[ {} y^{\prime }+y = \sin \left (x \right ) \]	✓	✓	✓

22355	\[ {} y^{\prime }+2 y = 0 \]	✓	✓	✓

22356	\[ {} y^{\prime }+2 y = 2 \]	✓	✓	✓

22357	\[ {} y^{\prime }+2 y = {\mathrm e}^{t} \]	✓	✓	✓

22358	\[ {} y^{\prime }+2 y = 0 \]	✓	✓	✓

22359	\[ {} y^{\prime }+5 y = 0 \]	✓	✓	✓

22406	\[ {} y^{\prime } = x^{2}+5 y \]	✓	✓	✓

22409	\[ {} r^{\prime } = \sqrt {r t} \]	✓	✓	✓

22411	\[ {} 2 x +y+\left (x -3\right ) y^{\prime } = 0 \]	✓	✓	✓

22413	\[ {} y^{\prime }+y = x \]	✓	✓	✓

22419	\[ {} y+\left (2 x -3 y\right ) y^{\prime } = 0 \]	✓	✓	✓

22420	\[ {} y^{\prime } = 3 \sin \left (x \right ) \]	✓	✓	✓

22421	\[ {} x^{\prime } = 4 \,{\mathrm e}^{-t}-2 \]	✓	✓	✓

22423	\[ {} s^{\prime } = 9 \sqrt {u} \]	✓	✓	✓

22425	\[ {} y^{\prime } = -\frac {4}{x^{2}} \]	✓	✓	✓

22428	\[ {} y^{\prime }-2 y = 0 \]	✓	✓	✓

22434	\[ {} y^{\prime } = 2 x y+1 \]	✓	✓	✓

22435	\[ {} y^{\prime } = \frac {3-x}{y+5} \]	✓	✓	✓

22438	\[ {} y^{\prime } = y \]	✓	✓	✓

22439	\[ {} y^{\prime } = {\mathrm e}^{y} \]	✓	✓	✓

22440	\[ {} y^{\prime } = \sec \left (y\right ) \]	✓	✓	✓

22442	\[ {} y^{\prime }+y \tan \left (x \right ) = 0 \]	✓	✓	✓

22444	\[ {} y^{\prime } = \frac {x +y}{y-x} \]	✓	✓	✓

4.9.79 Problems 7801 to 7900