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Question 4 a) Solve y```` -4y```-5y``+36Y`− 36?=0 knowing that xe^2x it's a solution b) Determine the...

Question 4

a) Solve y```` -4y```-5y``+36Y`− 36?=0 knowing that xe^2x it's a solution

b) Determine the general solution for a linear homogeneous differential equation in y(x) de fourth order, with real coefficients, knowing that a solution is given by x^3e^4x.

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