4. (6 points) Consider the following differential equation. t? " + - 4x = (a) (2 points) Without solving, show that y(t)
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4. (6 points) Consider the following differential equation. t? " + - 4x = (a) (2 points) Without solving, show that y(t)
4. (6 points) Consider the following differential equation. t? " + - 4x = (a) (2 points) Without solving, show that y(t) = 2 and xy(t) = 6-2 are the funda- mental solutions of the corresponding homogeneous equation. (b) (4 points) Find the general solution of the differential equation.
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