Internal problem ID [5180]
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`]]
\[ \boxed {y^{\prime }-y={\mathrm e}^{x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(diff(y(x),x)-y(x)=exp(x),y(x), singsol=all)
\[ y \left (x \right ) = \left (x +c_{1} \right ) {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 13
DSolve[y'[x]-y[x]==Exp[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^x (x+c_1) \]