I am facing trouble solving this higher order heat equation $$\partial_t u +\partial_x^4 u = 0, \space \space \space \space \space \space \space \space \space \space \space -\infty<x<\infty, t>0$$ $$u(x, t) =0, \space u_x(x, t) =0, \space u_{xx}(x, t) =0,\space u_{xxx}(x, t) =0, \space as \space x→±∞, t>0,$$
$$ u(x, 0) = \Theta $$ where $\Theta$ is a Heaviside function. The problem I am facing is I am getting an integration of this hypergeometric function (hypergeometric function) which I am not able to perform. If anyone can help me solve this problem I would be thankful.
I am sorry that I am not able to post image as my reputation is below 10!
Thank you!