Question: Given the following initial value problem of a 3rd order ordinary Differential Equation y - 5y + 6y' = 0 y(0) = 1 y'(0)

Given the following initial value problem of a 3rd order ordinary Differential Equation y" - 5y" + 6y' = 0 y(0) = 1 y'(0) = y"(0) = 0 a) Justify that the differential equation is homogeneous linear with constant coefficients. 1P b) Determine the general solution of the differential equation using the Euler approach y = e-x and justify why this approach is applicable at all. 4P

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