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3. Consider the following system of first order differential equations dx = 2x(t) - 3y(t) + 6e2t dt dy = 2x(t) - 5y(t). dt (a)

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3. Consider the following system of first order differential equations dx = 2x(t) - 3y(t) + 6e2t dt dy = 2x(t) - 5y(t). dt (a) Find a second order inhomogeneous linear differential equation satisfied by x(t). (b) Hence, or otherwise, find the general solution to the system of first order differential equations

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