ODE
\[ a y'(x)+b x e^{y(x)}+x y''(x)=0 \] ODE Classification
[[_2nd_order, _with_linear_symmetries]]
Book solution method
TO DO
Mathematica ✗
cpu = 0.52151 (sec), leaf count = 0 , could not solve
DSolve[b*E^y[x]*x + a*Derivative[1][y][x] + x*Derivative[2][y][x] == 0, y[x], x]
Maple ✗
cpu = 2.371 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[b*E^y[x]*x + a*y'[x] + x*y''[x] == 0,y[x],x]
Mathematica raw output
DSolve[b*E^y[x]*x + a*Derivative[1][y][x] + x*Derivative[2][y][x] == 0, y[x], x]
Maple raw input
dsolve(x*diff(diff(y(x),x),x)+a*diff(y(x),x)+b*x*exp(y(x)) = 0, y(x))
Maple raw output
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