ODE
\[ -4 y'(x) \left (y'''(x)\right )^2+3 y'(x) y''(x) y''''(x)-3 y''(x)^3=0 \] ODE Classification
[[_high_order, _missing_x], [_high_order, _missing_y], [_high_order, _with_linear_symmetries]]
Book solution method
TO DO
Mathematica ✗
cpu = 0.319863 (sec), leaf count = 0 , could not solve
DSolve[-3*Derivative[2][y][x]^3 - 4*Derivative[1][y][x]*Derivative[3][y][x]^2 + 3*Derivative[1][y][x]*Derivative[2][y][x]*Derivative[4][y][x] == 0, y[x], x]
Maple ✗
cpu = 2.865 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[-3*y''[x]^3 - 4*y'[x]*y'''[x]^2 + 3*y'[x]*y''[x]*y''''[x] == 0,y[x],x]
Mathematica raw output
DSolve[-3*Derivative[2][y][x]^3 - 4*Derivative[1][y][x]*Derivative[3][y][x]^2 + 3*Derivative[1][y][x]*Derivative[2][y][x]*Derivative[4][y][x] == 0, y[x], x]
Maple raw input
dsolve(3*diff(y(x),x)*diff(diff(y(x),x),x)*diff(diff(diff(diff(y(x),x),x),x),x)-4*diff(y(x),x)*diff(diff(diff(y(x),x),x),x)^2-3*diff(diff(y(x),x),x)^3 = 0, y(x))
Maple raw output
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