Internal problem ID [12117]
Book: Differential equations and the calculus of variations by L. ElSGOLTS. MIR PUBLISHERS,
MOSCOW, Third printing 1977.
Section: Chapter 1, First-Order Differential Equations. Problems page 88
Problem number: Problem 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {x^{\prime }+3 x={\mathrm e}^{2 t}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(x(t),t)+3*x(t)=exp(2*t),x(t), singsol=all)
\[ x \left (t \right ) = \frac {\left ({\mathrm e}^{5 t}+5 c_{1} \right ) {\mathrm e}^{-3 t}}{5} \]
✓ Solution by Mathematica
Time used: 0.07 (sec). Leaf size: 23
DSolve[x'[t]+3*x[t]==Exp[2*t],x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to \frac {e^{2 t}}{5}+c_1 e^{-3 t} \]