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## Homework Statement

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.