Internal problem ID [1081]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 2, First order equations. Exact equations. Integrating factors. Section 2.6 Page
91
Problem number: 22.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {x^{4} y^{4}+x^{5} y^{3} y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve((x^4*y(x)^4)+(x^5*y(x)^3)*diff(y(x),x)=0,y(x), singsol=all)
\begin{align*} y \relax (x ) = 0 \\ y \relax (x ) = \frac {c_{1}}{x} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 21
DSolve[(x^4*y[x]^4)+(x^5*y[x]^3)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 0 \\ y(x)\to \frac {c_1}{x} \\ y(x)\to 0 \\ \end{align*}