Problems 15601 to 15700

Table 6.313: Main lookup table sequentially arranged


#	ODE	Mathematica	Maple	Sympy

15601	\[ {} x^{2} y^{\prime \prime }-2 y = 0 \]	✓	✓	✓

15602	\[ {} y^{\prime }+\frac {1}{2 y} = 0 \]	✓	✓	✓

15603	\[ {} y^{\prime }-\frac {y}{x} = 1 \]	✓	✓	✓

15604	\[ {} y^{\prime }-2 \sqrt {{\| y\|}} = 0 \]	✓	✓	✓

15605	\[ {} 2 x y+x^{2} y^{\prime } = 0 \]	✓	✓	✓

15606	\[ {} y^{\prime }-y^{2} = 1 \]	✓	✓	✓

15607	\[ {} 2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0 \]	✓	✓	✓

15608	\[ {} x y^{\prime }-\sin \left (x \right ) = 0 \]	✓	✓	✓

15609	\[ {} y^{\prime }+3 y = 0 \]	✓	✓	✓

15610	\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = 0 \]	✓	✓	✓

15611	\[ {} y+2 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

15612	\[ {} y^{\prime \prime \prime }-7 y^{\prime \prime }+12 y^{\prime } = 0 \]	✓	✓	✓

15613	\[ {} 2 x y^{\prime }-y = 0 \]	✓	✓	✓

15614	\[ {} x^{2} y^{\prime \prime }-x y^{\prime } = 0 \]	✓	✓	✓

15615	\[ {} x^{2} y^{\prime \prime }+6 x y^{\prime }+4 y = 0 \]	✓	✓	✓

15616	\[ {} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0 \]	✓	✓	✓

15617	\[ {} {y^{\prime }}^{2}-4 y = 0 \]	✓	✓	✓

15618	\[ {} {y^{\prime }}^{2}-9 x y = 0 \]	✓	✓	✓

15619	\[ {} {y^{\prime }}^{2} = x^{6} \]	✓	✓	✓

15620	\[ {} y^{\prime }-2 x y = 0 \]	✓	✓	✓

15621	\[ {} y^{\prime }+y = x^{2}+2 x -1 \]	✓	✓	✓

15622	\[ {} y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓	✓

15623	\[ {} y^{\prime } = x \sqrt {y} \]	✓	✓	✓

15624	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

15625	\[ {} y^{\prime } = 3 y^{{2}/{3}} \]	✓	✓	✓

15626	\[ {} x \ln \left (x \right ) y^{\prime }-\left (\ln \left (x \right )+1\right ) y = 0 \]	✓	✓	✓

15627	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

15628	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

15629	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

15630	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

15631	\[ {} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0 \]	✓	✓	✓

15632	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✓	✓	✓

15633	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✓	✓	✓

15634	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✓	✓	✓

15635	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✓	✓	✓

15636	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✓	✓	✓

15637	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✗	✗	✓

15638	\[ {} y^{\prime } = 1-x \]	✓	✓	✓

15639	\[ {} y^{\prime } = x -1 \]	✓	✓	✓

15640	\[ {} y^{\prime } = 1-y \]	✓	✓	✓

15641	\[ {} y^{\prime } = 1+y \]	✓	✓	✓

15642	\[ {} y^{\prime } = y^{2}-4 \]	✓	✓	✓

15643	\[ {} y^{\prime } = 4-y^{2} \]	✓	✓	✓

15644	\[ {} y^{\prime } = x y \]	✓	✓	✓

15645	\[ {} y^{\prime } = -x y \]	✓	✓	✓

15646	\[ {} y^{\prime } = x^{2}-y^{2} \]	✓	✓	✗

15647	\[ {} y^{\prime } = -x^{2}+y^{2} \]	✓	✓	✗

15648	\[ {} y^{\prime } = x +y \]	✓	✓	✓

15649	\[ {} y^{\prime } = x y \]	✓	✓	✓

15650	\[ {} y^{\prime } = \frac {x}{y} \]	✓	✓	✓

15651	\[ {} y^{\prime } = \frac {y}{x} \]	✓	✓	✓

15652	\[ {} y^{\prime } = 1+y^{2} \]	✓	✓	✓

15653	\[ {} y^{\prime } = y^{2}-3 y \]	✓	✓	✓

15654	\[ {} y^{\prime } = y^{3}+x^{3} \]	✗	✗	✗

15655	\[ {} y^{\prime } = {\| y\|} \]	✓	✓	✓

15656	\[ {} y^{\prime } = {\mathrm e}^{x -y} \]	✓	✓	✓

15657	\[ {} y^{\prime } = \ln \left (x +y\right ) \]	✓	✓	✓

15658	\[ {} y^{\prime } = \frac {2 x -y}{3 y+x} \]	✓	✓	✓

15659	\[ {} y^{\prime } = \frac {1}{\sqrt {15-x^{2}-y^{2}}} \]	✗	✗	✗

15660	\[ {} y^{\prime } = \frac {3 y}{\left (x -5\right ) \left (x +3\right )}+{\mathrm e}^{-x} \]	✓	✓	✗

15661	\[ {} y^{\prime } = \frac {x y}{x^{2}+y^{2}} \]	✓	✓	✓

15662	\[ {} y^{\prime } = \frac {1}{x y} \]	✓	✓	✓

15663	\[ {} y^{\prime } = \ln \left (y-1\right ) \]	✓	✓	✓

15664	\[ {} y^{\prime } = \sqrt {\left (y+2\right ) \left (y-1\right )} \]	✓	✓	✓

15665	\[ {} y^{\prime } = \frac {y}{y-x} \]	✓	✓	✓

15666	\[ {} y^{\prime } = \frac {x}{y^{2}} \]	✓	✓	✓

15667	\[ {} y^{\prime } = \frac {\sqrt {y}}{x} \]	✓	✓	✓

15668	\[ {} y^{\prime } = \frac {x y}{1-y} \]	✓	✓	✓

15669	\[ {} y^{\prime } = \left (x y\right )^{{1}/{3}} \]	✓	✓	✗

15670	\[ {} y^{\prime } = \sqrt {\frac {y-4}{x}} \]	✓	✓	✓

15671	\[ {} y^{\prime } = -\frac {y}{x}+y^{{1}/{4}} \]	✓	✓	✗

15672	\[ {} y^{\prime } = 4 y-5 \]	✓	✓	✓

15673	\[ {} y^{\prime }+3 y = 1 \]	✓	✓	✓

15674	\[ {} y^{\prime } = a y+b \]	✓	✓	✓

15675	\[ {} y^{\prime } = x^{2}+{\mathrm e}^{x}-\sin \left (x \right ) \]	✓	✓	✓

15676	\[ {} y^{\prime } = x y+\frac {1}{x^{2}+1} \]	✓	✓	✓

15677	\[ {} y^{\prime } = \cos \left (x \right )+\frac {y}{x} \]	✓	✓	✓

15678	\[ {} y^{\prime } = \frac {y}{x}+\tan \left (x \right ) \]	✓	✓	✓

15679	\[ {} y^{\prime } = \frac {y}{-x^{2}+4}+\sqrt {x} \]	✓	✓	✓

15680	\[ {} y^{\prime } = \frac {y}{-x^{2}+4}+\sqrt {x} \]	✓	✓	✓

15681	\[ {} y^{\prime } = y \cot \left (x \right )+\csc \left (x \right ) \]	✓	✓	✓

15682	\[ {} y^{\prime } = -x \sqrt {1-y^{2}} \]	✓	✓	✓

15683	\[ {} y^{\prime } = -\frac {x}{2}+\frac {\sqrt {x^{2}+4 y}}{2} \]	✓	✓	✓

15684	\[ {} y^{\prime } = 3 x +1 \]	✓	✓	✓

15685	\[ {} y^{\prime } = x +\frac {1}{x} \]	✓	✓	✓

15686	\[ {} y^{\prime } = 2 \sin \left (x \right ) \]	✓	✓	✓

15687	\[ {} y^{\prime } = x \sin \left (x \right ) \]	✓	✓	✓

15688	\[ {} y^{\prime } = \frac {1}{x -1} \]	✓	✓	✓

15689	\[ {} y^{\prime } = \frac {1}{x -1} \]	✓	✓	✓

15690	\[ {} y^{\prime } = \frac {1}{x^{2}-1} \]	✓	✓	✓

15691	\[ {} y^{\prime } = \frac {1}{x^{2}-1} \]	✓	✓	✓

15692	\[ {} y^{\prime } = \tan \left (x \right ) \]	✓	✓	✓

15693	\[ {} y^{\prime } = \tan \left (x \right ) \]	✓	✓	✓

15694	\[ {} y^{\prime } = 3 y \]	✓	✓	✓

15695	\[ {} y^{\prime } = 1-y \]	✓	✓	✓

15696	\[ {} y^{\prime } = 1-y \]	✓	✓	✓

15697	\[ {} y^{\prime } = x \,{\mathrm e}^{y-x^{2}} \]	✓	✓	✓

15698	\[ {} y^{\prime } = \frac {y}{x} \]	✓	✓	✓

15699	\[ {} y^{\prime } = \frac {2 x}{y} \]	✓	✓	✓

15700	\[ {} y^{\prime } = -2 y+y^{2} \]	✗	✓	✓

6.157 Problems 15601 to 15700