Question: At the website Wolfram|Alpha.com, you can enter y(t) = (f(t) y) * k, y(0) = a to solve the initial value problem in this

At the website Wolfram|Alpha.com, you can enter “y´(t) = (f(t) – y) * k, y(0) = a" to solve the initial value problem in this Extended Application, where we have used y(t) to represent P_L(t), f(t) to represent P_i(t), and a to represent P_L(0) Try this, and verify that the solution is equivalent to Equation (1).

Equation 1

e-k[P(0) + k["P,(x)e* dx] PL(t)= (1)

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