Consider the initial value problem y" + 2y + y = k/(t – 3), y(0) = 0, y'(0) = 0. where k is a constant. (a) Find the solution of the initial value problem. (b) Find the value of k for which the solution has a peak value of 5.

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25-06-2024
Mathematics

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Consider the initial value problem y" + 2y + y = k/(t – 3), y(0) = 0, y'(0) = 0. where k is a constant. (a) Find the solution of the initial value problem. (b) Find the value of k for which the solution has a peak value of 5.

Sagot :

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Consider the initial value problem y" + 2y + y = k/(t – 3), y(0) = 0, y'(0) = 0. where k is a constant. (a) Find the solution of the initial value problem. (b) Find the value of k for which the solution has a peak value of 5.

Sagot :

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