ODE
\[ a x^4 y'(x)^2+x^2 y''(x)+2 x y(x)=b \] ODE Classification
[NONE]
Book solution method
TO DO
Mathematica ✗
cpu = 3.27307 (sec), leaf count = 0 , could not solve
DSolve[2*x*y[x] + a*x^4*Derivative[1][y][x]^2 + x^2*Derivative[2][y][x] == b, y[x], x]
Maple ✗
cpu = 0.484 (sec), leaf count = 0 , could not solve
dsolve(x^2*diff(diff(y(x),x),x)+a*x^4*diff(y(x),x)^2+2*x*y(x) = b, y(x),'implicit')
Mathematica raw input
DSolve[2*x*y[x] + a*x^4*y'[x]^2 + x^2*y''[x] == b,y[x],x]
Mathematica raw output
DSolve[2*x*y[x] + a*x^4*Derivative[1][y][x]^2 + x^2*Derivative[2][y][x] == b, y[x], x]
Maple raw input
dsolve(x^2*diff(diff(y(x),x),x)+a*x^4*diff(y(x),x)^2+2*x*y(x) = b, y(x),'implicit')
Maple raw output
dsolve(x^2*diff(diff(y(x),x),x)+a*x^4*diff(y(x),x)^2+2*x*y(x) = b, y(x),'implicit')