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1) Select a_ZI the methods that can be used to solve the following initial value problem Do NOT solve y\"+ 3y' + 2y = 26x y(0) = 0,y'(0) = 1 Select all the methods 1) Separation of Variables 2) Integrating Factor Method 3) Characteristic Equation 4) Method of Undetermined Coefficients 5) Laplace Transforms 2a) Indicate what method you are using to solve the initial value problem and explain why 1) Separation of Variables 2) Integrating Factor Method 3) Characteristic Equation 4) Method of Undetermined Coefficients 5) Laplace Transforms 6) Eigenvalue Method 2b) Solve the initial value problem using the method indicated in part a)