Internal problem ID [466]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.1. Page 40
Problem number: 19.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {4 t^{2} y+t^{3} y^{\prime }-{\mathrm e}^{-t}=0} \end {gather*} With initial conditions \begin {align*} [y \left (-1\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 16
dsolve([4*t^2*y(t)+t^3*diff(y(t),t) = exp(-t),y(-1) = 0],y(t), singsol=all)
\[ y \relax (t ) = -\frac {\left (t +1\right ) {\mathrm e}^{-t}}{t^{4}} \]
✓ Solution by Mathematica
Time used: 0.07 (sec). Leaf size: 18
DSolve[{4*t^2*y[t]+t^3*y'[t] == Exp[-t],y[-1]==0},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -\frac {e^{-t} (t+1)}{t^4} \\ \end{align*}