Question

Please show all steps, thank you! a) Verify that the functions below solve the system: x(t)...

Please show all steps, thank you!

a) Verify that the functions below solve the system:

x(t) = c1e^5t + c2e^-t

y(t) = 2c1e^5t - c2e^-t

Do not solve the system

dx/dt = x + 2y

dy/dt = 4x +3y

b) Solve the system using Operator D elimination. Write the answer both in scalar and vector form. Please show all steps!

dx/dt = x + 2y

dy/dt = 4x + 3y

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