Find the value of k for which the constant function x(t)=k is a solution of the differential equation 6t^5dx/dt+7x−4=0.
The Attempt at a Solution
I have tried this several ways but no luck, here is one of my attempts,
solve for dx/dt,
dx/dt = (4-7x)/6t^5
take the integral,
x(t) = (1/6t^5)(4x-7x^2/2)
and that doesn't help :P
I am sure as usual I am missing something straightforward but I don't see it.