Problems 6901 to 7000

Table 6.139: Main lookup table sequentially arranged


#	ODE	Mathematica	Maple	Sympy

6901	\[ {} 2 x y^{\prime }-y = 2 x \cos \left (x \right ) \]	✓	✓	✓

6902	\[ {} x^{2} y^{\prime }+x y = 10 \sin \left (x \right ) \]	✓	✓	✓

6903	\[ {} y^{\prime }+2 x y = 1 \]	✓	✓	✓

6904	\[ {} x y^{\prime }-2 y = 0 \]	✓	✓	✓

6905	\[ {} y^{\prime } = -\frac {x}{y} \]	✓	✓	✓

6906	\[ {} y^{\prime }+2 y = 0 \]	✓	✓	✓

6907	\[ {} 5 y^{\prime } = 2 y \]	✓	✓	✓

6908	\[ {} y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]	✓	✓	✓

6909	\[ {} 2 y^{\prime \prime }+7 y^{\prime }-4 y = 0 \]	✓	✓	✓

6910	\[ {} x y^{\prime \prime }+2 y^{\prime } = 0 \]	✓	✓	✓

6911	\[ {} 4 x^{2} y^{\prime \prime }+y = 0 \]	✓	✓	✓

6912	\[ {} x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = 0 \]	✓	✓	✓

6913	\[ {} x^{2} y^{\prime \prime \prime }-3 x y^{\prime \prime }+3 y^{\prime } = 0 \]	✓	✓	✓

6914	\[ {} 3 x y^{\prime }+5 y = 10 \]	✓	✓	✓

6915	\[ {} y^{\prime } = y^{2}+2 y-3 \]	✓	✓	✓

6916	\[ {} \left (-1+y\right ) y^{\prime } = 1 \]	✓	✓	✓

6917	\[ {} y^{\prime \prime }+4 y^{\prime }+6 y = 10 \]	✓	✓	✓

6918	\[ {} {y^{\prime }}^{2} = 4 y \]	✓	✓	✓

6919	\[ {} {y^{\prime }}^{2} = 9-y^{2} \]	✓	✓	✗

6920	\[ {} y y^{\prime }+\sqrt {16-y^{2}} = 0 \]	✓	✓	✓

6921	\[ {} {y^{\prime }}^{2}-2 y^{\prime }+4 y = 4 x -1 \]	✓	✓	✗

6922	\[ {} [x^{\prime }\left (t \right ) = x \left (t \right )+3 y \left (t \right ), y^{\prime }\left (t \right ) = 5 x \left (t \right )+3 y \left (t \right )] \]	✓	✓	✓

6923	\[ {} [x^{\prime \prime }\left (t \right ) = 4 y \left (t \right )+{\mathrm e}^{t}, y^{\prime \prime }\left (t \right ) = 4 x \left (t \right )-{\mathrm e}^{t}] \]	✓	✓	✓

6924	\[ {} y^{\prime } = \sqrt {1-y^{2}} \]	✓	✓	✓

6925	\[ {} y^{\prime \prime }+2 y^{\prime }+4 y = 5 \sin \left (t \right ) \]	✓	✓	✓

6926	\[ {} y^{\prime } = f \left (x \right ) \]	✓	✓	✓

6927	\[ {} y^{\prime \prime } = f \left (x \right ) \]	✓	✓	✓

6928	\[ {} x {y^{\prime }}^{2}-4 y^{\prime }-12 x^{3} = 0 \]	✓	✓	✓

6929	\[ {} y^{\prime } = 5-y \]	✓	✓	✓

6930	\[ {} y^{\prime } = y^{2}+4 \]	✓	✓	✓

6931	\[ {} y^{\prime \prime \prime \prime }-20 y^{\prime \prime \prime }+158 y^{\prime \prime }-580 y^{\prime }+841 y = 0 \]	✓	✓	✓

6932	\[ {} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+20 x y^{\prime }-78 y = 0 \]	✓	✓	✓

6933	\[ {} y^{\prime } = y-y^{2} \]	✓	✓	✓

6934	\[ {} y^{\prime } = y-y^{2} \]	✓	✓	✓

6935	\[ {} y^{\prime }+2 x y^{2} = 0 \]	✓	✓	✓

6936	\[ {} y^{\prime }+2 x y^{2} = 0 \]	✓	✓	✓

6937	\[ {} y^{\prime }+2 x y^{2} = 0 \]	✓	✓	✓

6938	\[ {} y^{\prime }+2 x y^{2} = 0 \]	✓	✓	✓

6939	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

6940	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

6941	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

6942	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

6943	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

6944	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

6945	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

6946	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

6947	\[ {} y^{\prime } = 3 y^{{2}/{3}} \]	✓	✓	✓

6948	\[ {} x y^{\prime } = 2 y \]	✓	✓	✗

6949	\[ {} y^{\prime } = y^{{2}/{3}} \]	✓	✓	✓

6950	\[ {} y^{\prime } = \sqrt {x y} \]	✓	✓	✓

6951	\[ {} x y^{\prime } = y \]	✓	✓	✓

6952	\[ {} y^{\prime }-y = x \]	✓	✓	✓

6953	\[ {} \left (4-y^{2}\right ) y^{\prime } = x^{2} \]	✓	✓	✓

6954	\[ {} \left (y^{3}+1\right ) y^{\prime } = x^{2} \]	✓	✓	✓

6955	\[ {} \left (x^{2}+y^{2}\right ) y^{\prime } = y^{2} \]	✓	✓	✓

6956	\[ {} \left (y-x \right ) y^{\prime } = x +y \]	✓	✓	✓

6957	\[ {} y^{\prime } = \sqrt {y^{2}-9} \]	✓	✓	✗

6958	\[ {} y^{\prime } = \sqrt {y^{2}-9} \]	✓	✓	✓

6959	\[ {} y^{\prime } = \sqrt {y^{2}-9} \]	✓	✓	✓

6960	\[ {} y^{\prime } = \sqrt {y^{2}-9} \]	✓	✓	✗

6961	\[ {} x y^{\prime } = y \]	✓	✓	✗

6962	\[ {} y^{\prime } = 1+y^{2} \]	✓	✓	✓

6963	\[ {} y^{\prime } = y^{2} \]	✓	✓	✓

6964	\[ {} y^{\prime } = y^{2} \]	✓	✓	✓

6965	\[ {} y^{\prime } = y^{2} \]	✓	✓	✗

6966	\[ {} y^{\prime } = y^{2} \]	✓	✓	✓

6967	\[ {} y^{\prime } = y^{2} \]	✓	✓	✓

6968	\[ {} y y^{\prime } = 3 x \]	✓	✓	✓

6969	\[ {} y y^{\prime } = 3 x \]	✓	✓	✓

6970	\[ {} y y^{\prime } = 3 x \]	✓	✓	✓

6971	\[ {} y^{\prime \prime }+4 y = 0 \]	✗	✗	✗

6972	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

6973	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

6974	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

6975	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

6976	\[ {} y^{\prime \prime }+4 y = 0 \]	✗	✗	✗

6977	\[ {} y^{\prime } = x -2 y \]	✓	✓	✓

6978	\[ {} y^{\prime } = x^{2}+y^{2} \]	✓	✓	✗

6979	\[ {} 2 y^{\prime \prime }-3 y^{2} = 0 \]	✗	✓	✗

6980	\[ {} y^{\prime }+2 y = 3 x -6 \]	✓	✓	✓

6981	\[ {} y^{\prime } = x \sqrt {y} \]	✓	✓	✗

6982	\[ {} x y^{\prime } = 2 x \]	✓	✓	✓

6983	\[ {} y^{\prime } = 2 \]	✓	✓	✓

6984	\[ {} y^{\prime } = 2 y-4 \]	✓	✓	✓

6985	\[ {} x y^{\prime } = y \]	✓	✓	✓

6986	\[ {} y^{\prime \prime }+9 y = 18 \]	✓	✓	✓

6987	\[ {} x y^{\prime \prime }-y^{\prime } = 0 \]	✓	✓	✓

6988	\[ {} y^{\prime \prime } = y^{\prime } \]	✓	✓	✓

6989	\[ {} y^{\prime } = y \left (-3+y\right ) \]	✓	✓	✓

6990	\[ {} 3 x y^{\prime }-2 y = 0 \]	✓	✓	✓

6991	\[ {} \left (2 y-2\right ) y^{\prime } = 2 x -1 \]	✓	✓	✓

6992	\[ {} x y^{\prime }+y = 2 x \]	✓	✓	✓

6993	\[ {} y^{\prime } = x^{2}+y^{2} \]	✓	✓	✗

6994	\[ {} {y^{\prime }}^{2} = 4 x^{2} \]	✓	✓	✓

6995	\[ {} y^{\prime } = 6 \sqrt {y}+5 x^{3} \]	✗	✗	✗

6996	\[ {} y^{\prime \prime }+y = 2 \cos \left (x \right )-2 \sin \left (x \right ) \]	✓	✓	✓

6997	\[ {} y^{\prime \prime }+y = \sec \left (x \right ) \]	✓	✓	✓

6998	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0 \]	✓	✓	✓

6999	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+y = \sec \left (\ln \left (x \right )\right ) \]	✓	✓	✓

7000	\[ {} y^{\prime }+\sin \left (x \right ) y = x \]	✓	✓	✓

6.70 Problems 6901 to 7000