Internal problem ID [5080]
Book: Engineering Mathematics. By K. A. Stroud. 5th edition. Industrial press Inc. NY.
2001
Section: Program 24. First order differential equations. Test excercise 24. page 1067
Problem number: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {x \cos \left (y\right ) y^{\prime }-\sin \left (y\right )=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 8
dsolve(x*cos(y(x))*diff(y(x),x)-sin(y(x))=0,y(x), singsol=all)
\[ y \left (x \right ) = \arcsin \left (c_{1} x \right ) \]
✓ Solution by Mathematica
Time used: 9.024 (sec). Leaf size: 17
DSolve[x*Cos[y[x]]*y'[x]-Sin[y[x]]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \arcsin \left (e^{c_1} x\right ) \\ y(x)\to 0 \\ \end{align*}