ODE
\[ y'''(x)+y'(x)^2-y(x) y'(x)=0 \] ODE Classification
[[_3rd_order, _missing_x], [_3rd_order, _with_linear_symmetries]]
Book solution method
TO DO
Mathematica ✗
cpu = 0.184056 (sec), leaf count = 0 , could not solve
DSolve[-(y[x]*Derivative[1][y][x]) + Derivative[1][y][x]^2 + Derivative[3][y][x] == 0, y[x], x]
Maple ✗
cpu = 1.607 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[-(y[x]*y'[x]) + y'[x]^2 + y'''[x] == 0,y[x],x]
Mathematica raw output
DSolve[-(y[x]*Derivative[1][y][x]) + Derivative[1][y][x]^2 + Derivative[3][y][x] == 0, y[x], x]
Maple raw input
dsolve(diff(diff(diff(y(x),x),x),x)-y(x)*diff(y(x),x)+diff(y(x),x)^2 = 0, y(x))
Maple raw output
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