3. Consider the following system of first order differential equations = 2x(t) – 5y(t) + 3e2t, dx dt dy dt - = x(t) – 4y
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3. Consider the following system of first order differential equations = 2x(t) – 5y(t) + 3e2t, dx dt dy dt - = x(t) – 4y
3. Consider the following system of first order differential equations = 2x(t) – 5y(t) + 3e2t, dx dt dy dt - = x(t) – 4y(t). (a) Find a second order 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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