2.1 problem 1

Internal problem ID [2559]

Book: Differential equations and linear algebra, Stephen W. Goode, second edition, 2000
Section: 1.6, page 50
Problem number: 1.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [[_linear, `class A`]]

\[ \boxed {y^{\prime }-y={\mathrm e}^{2 x}} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 11

dsolve(diff(y(x),x)-y(x)=exp(2*x),y(x), singsol=all)
 

\[ y \left (x \right ) = \left ({\mathrm e}^{x}+c_{1} \right ) {\mathrm e}^{x} \]

Solution by Mathematica

Time used: 0.041 (sec). Leaf size: 15

DSolve[y'[x]-y[x]==Exp[2*x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^x \left (e^x+c_1\right ) \]