Internal problem ID [478]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.1. Page 40
Problem number: 31.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {-\frac {3 y}{2}+y^{\prime }-2 \,{\mathrm e}^{t}-3 t=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(-3/2*y(t)+diff(y(t),t) = 2*exp(t)+3*t,y(t), singsol=all)
\[ y \relax (t ) = -2 t -\frac {4}{3}-4 \,{\mathrm e}^{t}+{\mathrm e}^{\frac {3 t}{2}} c_{1} \]
✓ Solution by Mathematica
Time used: 0.094 (sec). Leaf size: 27
DSolve[-3/2*y[t]+y'[t] == 2*Exp[t]+3*t,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -2 t-4 e^t+c_1 e^{3 t/2}-\frac {4}{3} \\ \end{align*}