Question: Please answer questions 14 and 15 step by step. Please provide a description of it. Also, please clear the handwriting 14) Let the third order

Please answer questions 14 and 15 step by step. Please provide a description of it.

Also, please clear the handwriting

14) Let the third order ODE be y" - 6y" + 1ly' -6y = exand one of the basis functions is e3x a) Find the homogeneous solution yn = Cie3* + Czy2 + C313. What are V2 & V3? b) Find the particular solution by the method of variation. 15) Suppose y1 = e2x, yz = ex, y3 = ex form a basis of the homogeneous solution of y" tay" + by't cy = r(x). Compute W1, W2, and W3

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