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]
\[ \boxed {y^{\prime }-{\mathrm e}^{\sin \left (x \right )}-\cos \left (x \right ) y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve(diff(y(x),x) = exp(sin(x))+y(x)*cos(x),y(x), singsol=all)
\[ y \left (x \right ) = \left (x +c_{1} \right ) {\mathrm e}^{\sin \left (x \right )} \]
✓ Solution by Mathematica
Time used: 0.12 (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*}