Consider the equation y′′ − 5y′ + 6y =e3tcos(2t) + e2t(3t+4)sint (a) Determine a suitable form...

Consider the equation
y′′ − 5y′ + 6y =e^3tcos(2t) + e^2t(3t+4)sint

(a) Determine a suitable form for yp if the method of undetermined coefficients is used

- Show steps for getting A, B, etc.

- if possible, split up the right hand side and handle each value seperately, aka y′′ − 5y′ + 6y =e^3tcos(2t),

then y′′ − 5y′ + 6y =e^2t(3t+4)sint, then adding together for final solution.

(b) Find the general solution of the equation.

Expert Solution

Colby Messinger answered 3 weeks ago

y''+5y'+6y=sint–cos2t

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