ODE
\[ y(x) y''(x)+y'(x)^2-x y'(x)+y(x)=0 \] ODE Classification
[[_2nd_order, _with_linear_symmetries]]
Book solution method
TO DO
Mathematica ✗
cpu = 32.2296 (sec), leaf count = 0 , could not solve
DSolve[y[x] - x*Derivative[1][y][x] + Derivative[1][y][x]^2 + y[x]*Derivative[2][y][x] == 0, y[x], x]
Maple ✗
cpu = 2.533 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[y[x] - x*y'[x] + y'[x]^2 + y[x]*y''[x] == 0,y[x],x]
Mathematica raw output
DSolve[y[x] - x*Derivative[1][y][x] + Derivative[1][y][x]^2 + y[x]*Derivative[2][y][x] == 0, y[x], x]
Maple raw input
dsolve(y(x)*diff(diff(y(x),x),x)+diff(y(x),x)^2-x*diff(y(x),x)+y(x) = 0, y(x))
Maple raw output
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