10.1.31 problem 31

Internal problem ID [1128]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Section 2.1. Page 40
Problem number : 31
Date solved : Monday, January 27, 2025 at 04:35:00 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} -\frac {3 y}{2}+y^{\prime }&=2 \,{\mathrm e}^{t}+3 t \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 19

dsolve(-3/2*y(t)+diff(y(t),t) = 2*exp(t)+3*t,y(t), singsol=all)
 

\[ y = -2 t -\frac {4}{3}-4 \,{\mathrm e}^{t}+{\mathrm e}^{\frac {3 t}{2}} c_1 \]

✓ Solution by Mathematica

Time used: 0.132 (sec). Leaf size: 27

DSolve[-3/2*y[t]+D[y[t],t] == 2*Exp[t]+3*t,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to -2 t-4 e^t+c_1 e^{3 t/2}-\frac {4}{3} \]