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Input:

y\'(t) - 2 y(t) = 3 e^(2 t)


ODE classification:

first-order linear ordinary differential equation


Alternate form:

2 y(t) + 3 e^(2 t) = y\'(t)


Differential equation solution:

y(t) = c_1 e^(2 t) + 3 e^(2 t) t

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