38.2.30 problem 30

Internal problem ID [6459]
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
Date solved : Monday, January 27, 2025 at 02:04:51 PM
CAS classification : [_separable]

\begin{align*} y+\left (x^{2}-4 x \right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 14

dsolve(y(x)+(x^2-4*x)*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = \frac {c_1 \,x^{{1}/{4}}}{\left (x -4\right )^{{1}/{4}}} \]

✓ Solution by Mathematica

Time used: 0.042 (sec). Leaf size: 27

DSolve[y[x]+(x^2-4*x)*D[y[x],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*}