Internal problem ID [14107]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Review exercises, page
23
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-y=\sin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x)-y(x)=sin(x),y(x), singsol=all)
\[ y \left (x \right ) = -\frac {\cos \left (x \right )}{2}-\frac {\sin \left (x \right )}{2}+c_{1} {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.046 (sec). Leaf size: 24
DSolve[y'[x]-y[x]==Sin[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {\sin (x)}{2}-\frac {\cos (x)}{2}+c_1 e^x \]