# Differential equation problem

1. Mar 4, 2008

### the7joker7

1. The problem statement, all variables and given/known data

Find the value of k for which the constant function x(t)=k is a solution of the differential equation 9t$$_{2}$$$$\frac{dx}{dt}$$ -3x + 7 = 0.

2. Relevant equations

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3. The attempt at a solution

I'm a little confused on where to start...I was under the impression I had to factor and find what values would set the function equal to zero, so I did that, but it didn't come out right. Help?

2. Mar 4, 2008

### sylar

Since x(t)=k doesn't have a term including t, we have dx/dt=0.The rest is just simple arithmetic!