ODE No. 535

\[ 8 x y'(x)^3-12 y(x) y'(x)^2+9 y(x)=0 \] Mathematica : cpu = 0.0457137 (sec), leaf count = 49

DSolve[9*y[x] - 12*y[x]*Derivative[1][y][x]^2 + 8*x*Derivative[1][y][x]^3 == 0,y[x],x]
 

\[\left \{\left \{y(x)\to -\frac {(x+3 c_1){}^{3/2}}{3 \sqrt {c_1}}\right \},\left \{y(x)\to \frac {(x+3 c_1){}^{3/2}}{3 \sqrt {c_1}}\right \}\right \}\] Maple : cpu = 0.056 (sec), leaf count = 51

dsolve(8*x*diff(y(x),x)^3-12*y(x)*diff(y(x),x)^2+9*y(x)=0,y(x))
 

\[y \left (x \right ) = -\frac {3 x}{2}\]