Internal problem ID [1688]
Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 1.9. Page 66
Problem number: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_exact]
Solve \begin {gather*} \boxed {2 t \sin \relax (y)+{\mathrm e}^{t} y^{3}+\left (t^{2} \cos \relax (y)+3 \,{\mathrm e}^{t} y^{2}\right ) y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.062 (sec). Leaf size: 19
dsolve(2*t*sin(y(t))+exp(t)*y(t)^3+(t^2*cos(y(t))+3*exp(t)*y(t)^2)*diff(y(t),t) = 0,y(t), singsol=all)
\[ {\mathrm e}^{t} y \relax (t )^{3}+\sin \left (y \relax (t )\right ) t^{2}+c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.424 (sec). Leaf size: 22
DSolve[2*t*Sin[y[t]]+Exp[t]*y[t]^3+(t^2*Cos[y[t]]+3*Exp[t]*y[t]^2)*y'[t]== 0,y[t],t,IncludeSingularSolutions -> True]
\[ \text {Solve}\left [t^2 \sin (y(t))+e^t y(t)^3=c_1,y(t)\right ] \]