Internal problem ID [2767]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 1
Problem number: 12.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }-{\mathrm e}^{\sin \relax (x )}-\cos \relax (x ) y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 11
dsolve(diff(y(x),x) = exp(sin(x))+y(x)*cos(x),y(x), singsol=all)
\[ y \relax (x ) = \left (x +c_{1}\right ) {\mathrm e}^{\sin \relax (x )} \]
✓ Solution by Mathematica
Time used: 0.128 (sec). Leaf size: 14
DSolve[y'[x]==Exp[Sin[x]]+y[x]*Cos[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to (x+c_1) e^{\sin (x)} \\ \end{align*}