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Given the following initial value problem of a 3rd order ordinary Differential Equation y 5y...

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Calculus

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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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