Internal problem ID [4673]
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 11.50.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }-y-x \,{\mathrm e}^{2 x}-1=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve(diff(y(x),x)-y(x)=x*exp(2*x)+1,y(x), singsol=all)
\[ y \relax (x ) = x \,{\mathrm e}^{2 x}-{\mathrm e}^{2 x}-1+c_{1} {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.094 (sec). Leaf size: 21
DSolve[y'[x]-y[x]==x*Exp[2*x]+1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -1+e^x \left (e^x (x-1)+c_1\right ) \\ \end{align*}