8.6.26 problem 26

Internal problem ID [796]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Chapter 1 review problems. Page 78
Problem number : 26
Date solved : Monday, January 27, 2025 at 03:07:25 AM
CAS classification : [[_homogeneous, `class G`], _exact, _rational]

\begin{align*} 9 \sqrt {x}\, y^{{4}/{3}}-12 x^{{1}/{5}} y^{{3}/{2}}+\left (8 x^{{3}/{2}} y^{{1}/{3}}-15 x^{{6}/{5}} \sqrt {y}\right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.017 (sec). Leaf size: 43

dsolve(9*x^(1/2)*y(x)^(4/3)-12*x^(1/5)*y(x)^(3/2)+(8*x^(3/2)*y(x)^(1/3)-15*x^(6/5)*y(x)^(1/2))*diff(y(x),x) = 0,y(x), singsol=all)
 

\[ 125 y^{{9}/{2}} x^{{18}/{5}}-225 y^{{13}/{3}} x^{{39}/{10}}+135 y^{{25}/{6}} x^{{21}/{5}}-27 y^{4} x^{{9}/{2}}-c_1 = 0 \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[9*x^(1/2)*y[x]^(4/3)-12*x^(1/5)*y[x]^(3/2)+(8*x^(3/2)*y[x]^(1/3)-15*x^(6/5)*y[x]^(1/2))*D[y[x],x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Timed out