Internal problem ID [12142]
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 45.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {x^{\prime }+5 x=10 t +2} \] With initial conditions \begin {align*} [x \left (1\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 7
dsolve([diff(x(t),t)+5*x(t)=10*t+2,x(1) = 2],x(t), singsol=all)
\[ x \left (t \right ) = 2 t \]
✓ Solution by Mathematica
Time used: 0.082 (sec). Leaf size: 8
DSolve[{x'[t]+5*x[t]==10*t+2,{x[1]==2}},x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to 2 t \]