Problems 8701 to 8800

Table 4.1013: First order ode linear in derivative


#	ODE	Mathematica	Maple	Sympy

24499	\[ {} y^{\prime } = a x +b y+c \]	✓	✓	✓

24500	\[ {} y^{3} \sec \left (x \right )^{2}-\left (1-2 y^{2} \tan \left (x \right )\right ) y^{\prime } = 0 \]	✓	✓	✗

24501	\[ {} x^{3} y+\left (3 x^{4}-y^{3}\right ) y^{\prime } = 0 \]	✓	✓	✗

24502	\[ {} a_{1} x +k y+c_{1} +\left (k x +b_{2} y+c_{2} \right ) y^{\prime } = 0 \]	✓	✓	✗

24503	\[ {} \left (x +2 y+1\right ) y^{\prime }+7+x -4 y = 0 \]	✓	✓	✗

24504	\[ {} x y^{\prime } = x^{3} y^{3}-2 y \]	✓	✓	✓

24505	\[ {} \left (2 x -1\right ) y+2 \left (x^{2}+y^{2}-x \right ) y^{\prime } = 0 \]	✓	✓	✓

24506	\[ {} 5 x +3 \,{\mathrm e}^{y}+2 x \,{\mathrm e}^{y} y^{\prime } = 0 \]	✓	✓	✓

24507	\[ {} 3 x +y-2+\left (3 x +y+4\right ) y^{\prime } = 0 \]	✓	✓	✓

24508	\[ {} 6 x y-3 y^{2}+2 y+2 \left (x -y\right ) y^{\prime } = 0 \]	✓	✓	✓

24509	\[ {} y^{\prime } = x -y+2 \]	✓	✓	✓

24510	\[ {} x +y-2-\left (x -4 y-2\right ) y^{\prime } = 0 \]	✓	✓	✓

24511	\[ {} 4+\left (x -y+2\right )^{2} y^{\prime } = 0 \]	✓	✓	✓

24512	\[ {} 2 x +4 y-1-\left (x +2 y-3\right ) y^{\prime } = 0 \]	✓	✓	✓

24513	\[ {} 4 y+3 \left (2 x -1\right ) \left (y^{\prime }+y^{4}\right ) = 0 \]	✓	✓	✓

24514	\[ {} \left (x -1\right ) y-\left (x^{2}-2 x -2 y\right ) y^{\prime } = 0 \]	✓	✓	✓

24515	\[ {} y^{\prime } = \tan \left (y\right ) \cot \left (x \right )-\cos \left (x \right ) \sec \left (y\right ) \]	✓	✓	✓

24516	\[ {} 1+\left (x +y\right )^{2}+\left (1+x \left (x +y\right )\right ) y^{\prime } = 0 \]	✓	✓	✓

24517	\[ {} x -2 y-1-\left (x -3\right ) y^{\prime } = 0 \]	✓	✓	✓

24518	\[ {} 2 x -3 y+1-\left (3 x +2 y-4\right ) y^{\prime } = 0 \]	✓	✓	✓

24519	\[ {} 4 x +3 y-7+\left (4 x +3 y+1\right ) y^{\prime } = 0 \]	✓	✓	✓

24520	\[ {} x +4 y+3-\left (2 x -y-3\right ) y^{\prime } = 0 \]	✓	✓	✓

24521	\[ {} 3 x -3 y-2-\left (x -y+1\right ) y^{\prime } = 0 \]	✓	✓	✓

24522	\[ {} x -6 y+2+2 \left (x +2 y+2\right ) y^{\prime } = 0 \]	✓	✓	✗

24523	\[ {} x^{4}-4 x^{2} y^{2}-y^{4}+4 x^{3} y y^{\prime } = 0 \]	✓	✓	✓

24524	\[ {} x -y-1-2 \left (y-2\right ) y^{\prime } = 0 \]	✓	✓	✓

24525	\[ {} x -3 y+3+\left (3 x +y+9\right ) y^{\prime } = 0 \]	✓	✓	✗

25025	\[ {} y^{\prime } = 2 y \]	✓	✓	✓

25026	\[ {} t y^{\prime } = y \]	✓	✓	✓

25028	\[ {} y^{\prime } = 2 y \left (-1+y\right ) \]	✓	✓	✓

25029	\[ {} 2 y y^{\prime } = 1 \]	✓	✓	✓

25030	\[ {} 2 y y^{\prime } = y^{2}+t -1 \]	✓	✓	✓

25031	\[ {} y^{\prime } = \frac {y^{2}-4 t y+6 t^{2}}{t^{2}} \]	✓	✓	✓

25032	\[ {} y^{\prime } = 3 y+12 \]	✓	✓	✓

25033	\[ {} y^{\prime } = -y+3 t \]	✓	✓	✓

25034	\[ {} y^{\prime } = y^{2}-y \]	✓	✓	✓

25035	\[ {} y^{\prime } = 2 t y \]	✓	✓	✓

25036	\[ {} y^{\prime } = -{\mathrm e}^{y}-1 \]	✓	✓	✓

25037	\[ {} \left (t +1\right ) y^{\prime }+y = 0 \]	✓	✓	✓

25038	\[ {} y^{\prime } = y^{2} \]	✓	✓	✓

25039	\[ {} y^{\prime } = 3+t \]	✓	✓	✓

25040	\[ {} y^{\prime } = {\mathrm e}^{2 t}-1 \]	✓	✓	✓

25041	\[ {} y^{\prime } = t \,{\mathrm e}^{-t} \]	✓	✓	✓

25042	\[ {} y^{\prime } = \frac {t +1}{t} \]	✓	✓	✓

25045	\[ {} y^{\prime } = 3 y+12 \]	✓	✓	✓

25046	\[ {} y^{\prime } = -y+3 t \]	✓	✓	✓

25047	\[ {} y^{\prime } = y^{2}-y \]	✓	✓	✓

25048	\[ {} \left (t +1\right ) y^{\prime }+y = 0 \]	✓	✓	✓

25049	\[ {} y^{\prime } = {\mathrm e}^{2 t}-1 \]	✓	✓	✓

25050	\[ {} y^{\prime } = t \,{\mathrm e}^{-t} \]	✓	✓	✓

25052	\[ {} y^{\prime } = t \]	✓	✓	✓

25053	\[ {} y^{\prime } = y^{2} \]	✓	✓	✓

25054	\[ {} y^{\prime } = y \left (y+t \right ) \]	✓	✓	✓

25055	\[ {} y^{\prime } = 1-y^{2} \]	✓	✓	✓

25056	\[ {} y^{\prime } = y-t \]	✓	✓	✓

25057	\[ {} y^{\prime } = -t y \]	✓	✓	✓

25058	\[ {} y^{\prime } = y-t^{2} \]	✓	✓	✓

25059	\[ {} y^{\prime } = t y^{2} \]	✓	✓	✓

25060	\[ {} y^{\prime } = \frac {t y}{y+1} \]	✓	✓	✓

25061	\[ {} y^{\prime } = y^{2} \]	✓	✓	✓

25062	\[ {} y^{\prime } = y \left (y+t \right ) \]	✓	✓	✓

25063	\[ {} y^{\prime } = y-t \]	✓	✓	✓

25064	\[ {} y^{\prime } = 1-y^{2} \]	✓	✓	✓

25065	\[ {} y^{\prime } = 2 y \left (5-y\right ) \]	✓	✓	✓

25066	\[ {} y y^{\prime } = 1-y \]	✓	✓	✓

25067	\[ {} t^{2} y^{\prime } = 1-2 t y \]	✓	✓	✓

25068	\[ {} \frac {y^{\prime }}{y} = y-t \]	✓	✓	✓

25069	\[ {} t y^{\prime } = y-2 t y \]	✓	✓	✓

25070	\[ {} y^{\prime } = t y^{2}-y^{2}+t -1 \]	✓	✓	✓

25071	\[ {} \left (t^{2}+3 y^{2}\right ) y^{\prime } = -2 t y \]	✓	✓	✗

25072	\[ {} y^{\prime } = t^{2}+y^{2} \]	✓	✓	✗

25073	\[ {} {\mathrm e}^{t} y^{\prime } = y^{3}-y \]	✓	✓	✓

25074	\[ {} y y^{\prime } = t \]	✓	✓	✓

25075	\[ {} 1-y^{2}-t y y^{\prime } = 0 \]	✓	✓	✓

25076	\[ {} y^{3} y^{\prime } = t \]	✓	✓	✓

25077	\[ {} y^{4} y^{\prime } = t +2 \]	✓	✓	✓

25078	\[ {} y^{\prime } = t y^{2} \]	✓	✓	✓

25079	\[ {} \tan \left (t \right ) y+y^{\prime } = \tan \left (t \right ) \]	✓	✓	✓

25080	\[ {} y^{\prime } = t^{m} y^{n} \]	✓	✓	✓

25081	\[ {} y^{\prime } = 4 y-y^{2} \]	✓	✓	✓

25082	\[ {} y y^{\prime } = 1+y^{2} \]	✓	✓	✓

25083	\[ {} y^{\prime } = 1+y^{2} \]	✓	✓	✓

25084	\[ {} t y y^{\prime }+t^{2}+1 = 0 \]	✓	✓	✓

25085	\[ {} y+1+\left (-1+y\right ) \left (t^{2}+1\right ) y^{\prime } = 0 \]	✓	✓	✓

25086	\[ {} 2 y y^{\prime } = {\mathrm e}^{t} \]	✓	✓	✓

25087	\[ {} \left (1-t \right ) y^{\prime } = y^{2} \]	✓	✓	✓

25088	\[ {} -y+y^{\prime } = y^{2} \]	✓	✓	✗

25089	\[ {} y^{\prime } = 4 t y^{2} \]	✓	✓	✗

25090	\[ {} y^{\prime } = \frac {x y+2 y}{x} \]	✓	✓	✓

25091	\[ {} 2 t y+y^{\prime } = 0 \]	✓	✓	✓

25092	\[ {} y^{\prime } = \frac {\cot \left (y\right )}{t} \]	✓	✓	✓

25093	\[ {} \frac {\left (u^{2}+1\right ) y^{\prime }}{y} = u \]	✓	✓	✗

25094	\[ {} t y-\left (t +2\right ) y^{\prime } = 0 \]	✓	✓	✓

25095	\[ {} y^{\prime } = \frac {1+y^{2}}{t} \]	✓	✓	✓

25096	\[ {} 3 y+y^{\prime } = {\mathrm e}^{t} \]	✓	✓	✓

25097	\[ {} \cos \left (t \right ) y^{\prime }+\sin \left (t \right ) y = 1 \]	✓	✓	✓

25098	\[ {} -2 y+y^{\prime } = {\mathrm e}^{2 t} \]	✓	✓	✓

25099	\[ {} t y^{\prime }+y = {\mathrm e}^{t} \]	✓	✓	✓

25100	\[ {} t y^{\prime }+m y = t \ln \left (t \right ) \]	✓	✓	✓

25101	\[ {} y^{\prime } = -\frac {y}{t}+\cos \left (t^{2}\right ) \]	✓	✓	✓

4.9.88 Problems 8701 to 8800