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Verify that given function . is a solution of the differential equation that follows it. Assume that C is an arbitrary constant. v(t) = Ce-3

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Verify that given function . is a solution of the differential equation that follows it. Assume that C is an arbitrary constant. v(t) = Ce-3 . y'(t) + 5y(t) = 0 y(x) = Ce" + Cel. y"(x) - y(x) =0 Find the general solution of each differential equation. y' (t) = 3+e-2 y'(t) = 12+5 - 20t* + 2 -6t-2

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