Internal problem ID [1041]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 2, First order equations. Exact equations. Section 2.5 Page 79
Problem number: 12.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {\sin \relax (x ) y^{2}+x y^{3} \cos \relax (x )+\left (x \sin \relax (x ) y+x y^{3} \cos \relax (x )\right ) y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.047 (sec). Leaf size: 5
dsolve((y(x)*sin(x)*y(x)+x*y(x)^2*cos(x)*y(x))+(x*sin(x)*y(x)+x*y(x)^2*cos(x)*y(x))*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = 0 \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(y[x]*Sin[x]*y[x]+x*y[x]^2*Cos[x]*y[x])+(x*Sin[x]*y[x]+x*y[x]^2*Cos[x]*y[x])*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved