4.45.37 \(-2 y'''(x)+y''''(x)+y(x)^2=x^3\)

ODE
\[ -2 y'''(x)+y''''(x)+y(x)^2=x^3 \] ODE Classification

[NONE]

Book solution method
TO DO

Mathematica
cpu = 0.031278 (sec), leaf count = 0 , could not solve

DSolve[y[x]^2 - 2*Derivative[3][y][x] + Derivative[4][y][x] == x^3, y[x], x]

Maple
cpu = 0.495 (sec), leaf count = 0 , could not solve

dsolve(diff(diff(diff(diff(y(x),x),x),x),x)-2*diff(diff(diff(y(x),x),x),x)+y(x)^2 = x^3, y(x),'implicit')

Mathematica raw input

DSolve[y[x]^2 - 2*y'''[x] + y''''[x] == x^3,y[x],x]

Mathematica raw output

DSolve[y[x]^2 - 2*Derivative[3][y][x] + Derivative[4][y][x] == x^3, 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 = x^3, y(x),'implicit')

Maple raw output

dsolve(diff(diff(diff(diff(y(x),x),x),x),x)-2*diff(diff(diff(y(x),x),x),x)+y(x)^
2 = x^3, y(x),'implicit')