reynold equation solution

[asafd]

i have an equation i can't solve analitically.

my goal is to find a simple solution for h(t) as a function of t, not an exact solution but a simple exponent of t will do i.e h is proportional to t^(alpha) i need to find that alpha.

my equation is a simplified reynolds eq(based on lubrication approx)

 

 

with b.c and i.c attached

 

 

 

my methods are solving the eq for p and than for h since h does not depend on x.

please help me!

[asafd]

pls can anyone delete this topic?!?!