39.2.6 problem Problem 11.49

Internal problem ID [6523]
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
Date solved : Monday, January 27, 2025 at 02:11:26 PM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }-y&={\mathrm e}^{x} \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 10

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

\[ y = \left (x +c_1 \right ) {\mathrm e}^{x} \]

✓ Solution by Mathematica

Time used: 0.041 (sec). Leaf size: 13

DSolve[D[y[x],x]-y[x]==Exp[x],y[x],x,IncludeSingularSolutions -> True]
 

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