Question

dy/dt - 2y = 7e^(2t) a. Determine the general solution to the associated homogeneous equation. b....

dy/dt - 2y = 7e^(2t)

a. Determine the general solution to the associated homogeneous equation.

b. By choosing an appropriate guess, determine a particular solution to this differential equation.

c. Using your answers from parts (a) and (b), write down the general solution to the original equation

d. Check that your solution is correct by plugging it into the original ODE.

e. Determine the specific solution corresponding to the initial condition y(0)= 3

Pls explain how you did it

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