MHB Looking at a solitary initial state

[simo1]

I have this equation

u₀(x) = a₀x²(1-x)² for 0≤ x ≤ 1
= 0 for x>1
i have to investigate how will a solitary initial state such as the one above deform as time goes on.

I know it will not deform if c is constant. when they say I must do this by a well-lnown method and produce video frmaes, could you suggest which methods to use

 

[Ackbach]

We need a lot more context to help you out, I think.

1. Where is the differential equation? All I see here is a function definition.

2. In what context does this differential equation arise? Can you give us the initial problem?

3. What is $c$?