Find a solution to the following initial value problem y'=-y+3t, y(0)=0
Added by Teresa W.
Step 1
We can do this by assuming that y has the form y=Ae^(-t)+Bt+C, where A, B, and C are constants to be determined. Taking the derivative of y with respect to t, we get y'=-Ae^(-t)+B. Substituting this into the differential equation, we have -Ae^(-t)+B=-y+3t Show more…
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