Internal problem ID [2683]
Book: Differential equations for engineers by Wei-Chau XIE, Cambridge Press 2010
Section: Chapter 2. First-Order and Simple Higher-Order Differential Equations. Page
78
Problem number: 48.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational]
Solve \begin {gather*} \boxed {2 y^{4} x -y+\left (4 y^{3} x^{3}-x \right ) y^{\prime }=0} \end {gather*}
✗ Solution by Maple
dsolve((2*x*y(x)^4-y(x))+(4*x^3*y(x)^3-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[(2*x*y[x]^4-y[x])+(4*x^3*y[x]^3-x)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved