Internal problem ID [1692]
Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 1.9. Page 66
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {2 t y^{3}+3 t^{2} y^{2} y^{\prime }=0} \end {gather*} With initial conditions \begin {align*} [y \relax (1) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 7
dsolve([2*t*y(t)^3+3*t^2*y(t)^2*diff(y(t),t) = 0,y(1) = 1],y(t), singsol=all)
\[ y \relax (t ) = \frac {1}{t^{\frac {2}{3}}} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 10
DSolve[{2*t*y[t]^3+3*t^2*y[t]^2*y'[t] == 0,y[1]==1},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {1}{t^{2/3}} \\ \end{align*}