4th order differential equation

Hello, Can anyone help me with solving below and how to get "y" is as following:

EI*(d^4v/dx^4) +P*z= 0

Author said that using Mathlab, following equation is obtained.

y= - Pz^5/120*EI+C1*z^3/6+C2*z2/2+C3+C4

Answer 1

[Ameer Hamza]

If you have symbolic toolbox, then try this

syms v(z) P EI

eq = EI*diff(v,4) == -P*z
v = dsolve(eq)

Result from live editor

Note that, I assumed in your question, d^4v/dz^4