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Make up a differential equation of the form dy dt = 2y t +

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QUESTION:

Make up a differential equation of the form dy dt = 2y t + g(y) that has the function y(t) = e2t as a solution.

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QUESTION:

Make up a differential equation of the form dy dt = 2y t + g(y) that has the function y(t) = e2t as a solution.

ANSWER:

Problem 2

Make up a differential equation of the form dy dt = 2y t + g(y) that has the function y(t) = e2t as a solution.

                                                              Step-by-step solution

Step 1 of 2

Solve the differential equation,

is a solution of the differential equation

Substituting the value  in the differential equation, we get

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