Solve the differential equation dx/dt = 0.63 - (9x / 2060).
The Attempt at a Solution
I started by finding the integrating factor. So I integrated 9/2060, to get 9t/2060. Therefore e^(9t/2060) is my integrating factor.
Multiply 0.63 by that integrating factor to get 0.63e^(9t/2060) on the left side of the equation.
Integrate the left side, and you get 144.2e^(9x/2060). The right side of the equation looks like (e^(9t/2060))x right now.
I need this in a function of x so I divide by e^(9t/2060)... and I get x = 144.2.
But that doesn't make sense in the context of the question. What I have should be something that varies with t...