Internal problem ID [1046]
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: 17.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_Abel, 2nd type, class B]]
Solve \begin {gather*} \boxed {3 x^{2} \cos \relax (x ) y-x^{3} y^{2} \sin \relax (x )+4 x +\left (8 y-x^{4} \sin \relax (x ) y\right ) y^{\prime }=0} \end {gather*}
✗ Solution by Maple
dsolve((3*x^2*cos(x)*y(x)-x^3*y(x)*sin(x)*y(x)+4*x)+(8*y(x)-x^4*sin(x)*y(x))*diff(y(x),x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(3*x^2*Cos[x]*y[x]-x^3*y[x]*Sin[x]*y[x]+4*x)+(8*y[x]-x^4*Sin[x]*y[x])*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved