ODE
\[ -2 y'''(x)+y''''(x)+y(x)^2=0 \] ODE Classification
[[_high_order, _missing_x], [_high_order, _with_linear_symmetries]]
Book solution method
TO DO
Mathematica ✗
cpu = 0.164292 (sec), leaf count = 0 , could not solve
DSolve[y[x]^2 - 2*Derivative[3][y][x] + Derivative[4][y][x] == 0, y[x], x]
Maple ✗
cpu = 1.826 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[y[x]^2 - 2*y'''[x] + y''''[x] == 0,y[x],x]
Mathematica raw output
DSolve[y[x]^2 - 2*Derivative[3][y][x] + Derivative[4][y][x] == 0, y[x], x]
Maple raw input
dsolve(diff(diff(diff(diff(y(x),x),x),x),x)-2*diff(diff(diff(y(x),x),x),x)+y(x)^2 = 0, y(x))
Maple raw output
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