Internal problem ID [14946]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 1. Basic concepts and definitions. Exercises page 18
Problem number: 15.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+2 y={\mathrm e}^{x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x)+2*y(x)=exp(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\left ({\mathrm e}^{3 x}+3 c_{1} \right ) {\mathrm e}^{-2 x}}{3} \]
✓ Solution by Mathematica
Time used: 0.049 (sec). Leaf size: 21
DSolve[y'[x]+2*y[x]==Exp[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {e^x}{3}+c_1 e^{-2 x} \]