ODE
\[ x^2 y'''(x)+x y''(x)-(1-2 x y(x)) y'(x)+y(x)^2=f(x) \] ODE Classification
[[_3rd_order, _exact, _nonlinear]]
Book solution method
TO DO
Mathematica ✗
cpu = 0.280656 (sec), leaf count = 0 , could not solve
DSolve[y[x]^2 - (1 - 2*x*y[x])*Derivative[1][y][x] + x*Derivative[2][y][x] + x^2*Derivative[3][y][x] == f[x], y[x], x]
Maple ✗
cpu = 1.386 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[y[x]^2 - (1 - 2*x*y[x])*y'[x] + x*y''[x] + x^2*y'''[x] == f[x],y[x],x]
Mathematica raw output
DSolve[y[x]^2 - (1 - 2*x*y[x])*Derivative[1][y][x] + x*Derivative[2][y][x] + x^2*Derivative[3][y][x] == f[x], y[x], x]
Maple raw input
dsolve(x^2*diff(diff(diff(y(x),x),x),x)+x*diff(diff(y(x),x),x)-(1-2*x*y(x))*diff(y(x),x)+y(x)^2 = f(x), y(x))
Maple raw output
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