solve the equation! - A (a) Y'(t) = -Y(t) + sin(t) + cos(t), Y(0) = 1; Y(t) = sin(t) + ce-t. b) Y'(t) = [Y(t) - Y(t)2] /t, Y(1) = 2; y(t) = t/(t+c), t> 0. c) Y'(t) = cos2 (Y(t)), Y(0) = π/4; Y(t) = tan-¹(t+c).

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