2.143   ODE No. 143

x2(ay(x)2+y(x))b=0

Mathematica : cpu = 0.0851445 (sec), leaf count = 51

DSolve[-b + x^2*(a*y[x]^2 + Derivative[1][y][x]) == 0,y[x],x]
 
{{y(x)1+4ab+1(1+2c1x4ab+1+c1)2ax}}

Maple : cpu = 0.07 (sec), leaf count = 41

dsolve(x^2*(diff(y(x),x)+a*y(x)^2)-b = 0,y(x))
 
y(x)=1tanh(4ab+1(ln(x)+c1)2)4ab+12ax