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## Homework Statement

Find k such that x(t)=18^t is a solution of the differential equation dx/dt=kx

## The Attempt at a Solution

I took the derivative of x(t)

x'= ln(18)*18^t

then set it equal to kx,

kx = ln(18)*18^t

giving,

k = [ln(18)*18^t]/x

I am sure I am missing something simple but have not been able to figure it out.