a) Solve the following initial value problem by the Laplace transform y" – 6y' +15y = 2 sin 3t, b) Evaluate the following f(t)= eand g(t)= sint by use of convolution theorem. y (0) = -1, y'(0)=-4

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Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.