Internal problem ID [4547]
Book: Basic Training in Mathematics. By R. Shankar. Plenum Press. NY. 1995
Section: Chapter 10, Differential equations. Section 10.3, ODEs with variable Coefficients. First order.
page 315
Problem number: 10.3.2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }-y-{\mathrm e}^{2 x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 11
dsolve(diff(y(x),x)-y(x)=exp(2*x),y(x), singsol=all)
\[ y \relax (x ) = \left ({\mathrm e}^{x}+c_{1}\right ) {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.066 (sec). Leaf size: 15
DSolve[y'[x]-y[x]==Exp[2*x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to e^x \left (e^x+c_1\right ) \\ \end{align*}