Internal problem ID [4608]
Book: Engineering Mathematics. By K. A. Stroud. 5th edition. Industrial press Inc. NY.
2001
Section: Program 24. First order differential equations. Further problems 24. page 1068
Problem number: 30.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y+\left (x^{2}-4 x \right ) y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(y(x)+(x^2-4*x)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {c_{1} x^{\frac {1}{4}}}{\left (x -4\right )^{\frac {1}{4}}} \]
✓ Solution by Mathematica
Time used: 0.034 (sec). Leaf size: 27
DSolve[y[x]+(x^2-4*x)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {c_1 \sqrt [4]{x}}{\sqrt [4]{4-x}} \\ y(x)\to 0 \\ \end{align*}