Internal problem ID [3123]
Book: Differential equations with applications and historial notes, George F. Simmons,
1971
Section: Chapter 2, End of chapter, page 61
Problem number: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x y^{\prime }+y=\cos \left (x \right ) x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 25
dsolve(x*diff(y(x),x)+y(x)=x^2*cos(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\sin \left (x \right ) x^{2}-2 \sin \left (x \right )+2 x \cos \left (x \right )+c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.066 (sec). Leaf size: 25
DSolve[x*y'[x]+y[x]==x^2*Cos[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {\left (x^2-2\right ) \sin (x)+2 x \cos (x)+c_1}{x} \]