4th order differential equation

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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

回答(1 个)

Ameer Hamza
Ameer Hamza 2020-12-3
编辑:Ameer Hamza 2020-12-3
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

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