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## Homework Statement

dx/dt = 2000-500x/100

Solve this linear ODE using integration. You should get a function of t, x(t). This is the "analytical solution". Use the differential equation above, separate the variables, and then integrate to find x(t). Find the integration constant and simplify your final result.

## Homework Equations

dx/dt = 2000-500x/100

## The Attempt at a Solution

I tried doing this but do no think its correct

dx-5x = 20dt then I would integrate that.