ODE
\[ a y(x) y'(x)^2+b x+x^2 y''(x)=0 \] ODE Classification
[[_2nd_order, _with_linear_symmetries]]
Book solution method
TO DO
Mathematica ✗
cpu = 38.8392 (sec), leaf count = 0 , could not solve
DSolve[b*x + a*y[x]*Derivative[1][y][x]^2 + x^2*Derivative[2][y][x] == 0, y[x], x]
Maple ✗
cpu = 5.329 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[b*x + a*y[x]*y'[x]^2 + x^2*y''[x] == 0,y[x],x]
Mathematica raw output
DSolve[b*x + a*y[x]*Derivative[1][y][x]^2 + x^2*Derivative[2][y][x] == 0, y[x], x]
Maple raw input
dsolve(x^2*diff(diff(y(x),x),x)+a*y(x)*diff(y(x),x)^2+b*x = 0, y(x))
Maple raw output
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