ODE No. 440

\[ x^2 y'(x)^2+4 x y(x) y'(x)-5 y(x)^2=0 \] Mathematica : cpu = 0.024792 (sec), leaf count = 19

DSolve[-5*y[x]^2 + 4*x*y[x]*Derivative[1][y][x] + x^2*Derivative[1][y][x]^2 == 0,y[x],x]
 

\[\left \{\left \{y(x)\to \frac {c_1}{x^5}\right \},\{y(x)\to c_1 x\}\right \}\] Maple : cpu = 0.015 (sec), leaf count = 15

dsolve(x^2*diff(y(x),x)^2+4*x*y(x)*diff(y(x),x)-5*y(x)^2 = 0,y(x))
 

\[y \left (x \right ) = c_{1} x\]