Internal problem ID [146]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Chapter 1 review problems. Page 78
Problem number: 26.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class G], _exact, _rational]
Solve \begin {gather*} \boxed {9 \sqrt {x}\, y^{\frac {4}{3}}-12 x^{\frac {1}{5}} y^{\frac {3}{2}}+\left (8 x^{\frac {3}{2}} y^{\frac {1}{3}}-15 x^{\frac {6}{5}} \sqrt {y}\right ) y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (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)
\[ -125 y \relax (x )^{\frac {9}{2}} x^{\frac {18}{5}}+225 y \relax (x )^{\frac {13}{3}} x^{\frac {39}{10}}-135 y \relax (x )^{\frac {25}{6}} x^{\frac {21}{5}}+27 y \relax (x )^{4} x^{\frac {9}{2}}-c_{1} = 0 \]
✗ Solution by Mathematica
Time used: 0.0 (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))*y'[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Timed out