Q1 (10 points) Solve y" +y' - 2y = sint by the method of undetermined coefficients. = Add Image/PDF files or drag and dropQ2 (10 points) Consider the differential equation y' y = 2 cost. Solve it by (a) using an integration factor, (b) the method of undetermined coefficient and (c) the variation of constant. ) Add Image/PDF files or drag and drop Q3 (10 points) Solve the differential equation y" 2y' + y = 2! using (a) undetermined coefficients and (b) variation of constants. ) Add Image/PDF files or drag and drop Q4 (10 points) Find the solution to the initial value problem: y" + 4y = sin(2t),y(0) = 1,3'(0) = 0. = Add Image/PDF files or drag and drop