Internal problem ID [6401]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven
Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 2. Problems for Review and Discovery. Problems for Discussion and Exploration.
Page 105
Problem number: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y+y^{\prime }=\cos \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(diff(y(x),x)+y(x)=cos(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: 0.036 (sec). Leaf size: 23
DSolve[y'[x]+y[x]==Cos[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{2} \left (\sin (x)+\cos (x)+2 c_1 e^{-x}\right ) \]