Question

Consider the initial value problem y'' + αy' + βy = 0, y(0) = −3, y'(0) = k, where α,β and k are constants. It is known that one of the differential equation is y_1(t) = e^(−4t) and the solution of IVP satisfies lim t→[infinity] y(t) = 10. Determine the constants α,β and k. This is differential equations so please do not respond unless you are able to solve the problem.

Answer 1

Explanation:

Consider the initial value problem y'' + αy' + βy = 0, y(0) = −3, y'(0) = k, where α,β and k are constants. It is known that one of the differential equation is y_1(t) = e^(−4t) and the solution of IVP satisfies lim t→[infinity] y(t) = 10. Determine the constants α,β and k. This is differential equations so please do not respond unless you are able to solve the problem.