Question

solve the differential equation: y''''=0. its 4 times the derivative of y.

Answer 1

y'''' = 0 means that
y''' = constant = c1
y'' = c1*x + c2
y' = c1*x^2/2 + c2*x + c3
y = c1*x^3/(2*3) + c2*x^2/2 + c3*x + c4

To simplify the equation, pack 1/(2*3) into c1 (a constant) and 1/2 into c2 (yet another constant.

y = c1*x^3 + c2*x^2 + c3*x + c4

Answer 2

yes thats the answer. thanks