Differential equation problem

  • Thread starter the7joker7
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  • #1
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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 9t[tex]_{2}[/tex][tex]\frac{dx}{dt}[/tex] -3x + 7 = 0.

The answer: k -2.33

Homework Equations



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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?
 

Answers and Replies

  • #2
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Since x(t)=k doesn't have a term including t, we have dx/dt=0.The rest is just simple arithmetic!
 

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