Internal problem ID [4672]
Book: Schaums Outline Differential Equations, 4th edition. Bronson and Costa. McGraw Hill
2014
Section: Chapter 11. THE METHOD OF UNDETERMINED COEFFICIENTS. Supplementary
Problems. page 101
Problem number: Problem 11.49.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }-y-{\mathrm e}^{x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(diff(y(x),x)-y(x)=exp(x),y(x), singsol=all)
\[ y \relax (x ) = \left (x +c_{1}\right ) {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.06 (sec). Leaf size: 13
DSolve[y'[x]-y[x]==Exp[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to e^x (x+c_1) \\ \end{align*}