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A special class of first-order linear equations have the form a(t)y'(t) + a'(t)y(t) = f(t), where a and f are given functions of t. Notice

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A special class of first-order linear equations have the form a(t)y'(t) + a'(t)y(t) = f(t), where a and f are given functions of t. Notice that the left side of this equation can be written as the derivative of a product, so the equation has the form - (a(t)y(t)) = a(t)y'(t) + a'(t)y(t) = f(t). Therefore, the equation can be solved by integrating both sides with respect to t. Use this idea to solve the following. e - ly'(1) - e ly= e of, y(0) = 3 y(t) =

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