Internal problem ID [15027]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 6. Linear equations of the first order. The Bernoulli equation. Exercises page
54
Problem number: 125.
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: 13
dsolve(diff(y(x),x)+2*y(x)=exp(-x),y(x), singsol=all)
\[ y \left (x \right ) = \left ({\mathrm e}^{x}+c_{1} \right ) {\mathrm e}^{-2 x} \]
✓ Solution by Mathematica
Time used: 0.048 (sec). Leaf size: 17
DSolve[y'[x]+2*y[x]==Exp[-x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-2 x} \left (e^x+c_1\right ) \]