ODE
\[ x^2 (y(x)+3) y'''(x)-3 (x+2) x y''(x)+6 (x+1) y'(x)-6 y(x)=0 \] ODE Classification
[NONE]
Book solution method
TO DO
Mathematica ✗
cpu = 0.662095 (sec), leaf count = 0 , could not solve
DSolve[-6*y[x] + 6*(1 + x)*Derivative[1][y][x] - 3*x*(2 + x)*Derivative[2][y][x] + x^2*(3 + y[x])*Derivative[3][y][x] == 0, y[x], x]
Maple ✗
cpu = 2.934 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[-6*y[x] + 6*(1 + x)*y'[x] - 3*x*(2 + x)*y''[x] + x^2*(3 + y[x])*y'''[x] == 0,y[x],x]
Mathematica raw output
DSolve[-6*y[x] + 6*(1 + x)*Derivative[1][y][x] - 3*x*(2 + x)*Derivative[2][y][x] + x^2*(3 + y[x])*Derivative[3][y][x] == 0, y[x], x]
Maple raw input
dsolve(x^2*(3+y(x))*diff(diff(diff(y(x),x),x),x)-3*x*(2+x)*diff(diff(y(x),x),x)+6*(x+1)*diff(y(x),x)-6*y(x) = 0, y(x))
Maple raw output
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