Internal problem ID [3275]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 1
Problem number: 11.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-y \cos \left (x \right )=\sin \left (x \right ) \cos \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(x),x) = cos(x)*sin(x)+y(x)*cos(x),y(x), singsol=all)
\[ y \left (x \right ) = -\sin \left (x \right )-1+{\mathrm e}^{\sin \left (x \right )} c_{1} \]
✓ Solution by Mathematica
Time used: 0.054 (sec). Leaf size: 18
DSolve[y'[x]==Cos[x]*Sin[x]+y[x]*Cos[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\sin (x)+c_1 e^{\sin (x)}-1 \]