Find two linearly independent Frobenius series solutions for the equation given below: 12x2у" - 5x(1-х)у'+ бу %3D0.

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: 1. Find the power series solutions of the following equation ry" + 3y' + (x – 2)y = 0.

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Q: use method of frobenius to obtain series solution of the equation; xy''+(4-x)y'+y=0

A: Using frobenius method for series solution  xy''+(4-x)y'+y=0⋯(1) Standard form of second order…

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A: According to guidelines we expert can solve only one question at a time, please repost other…

Q: use power series to find the general solution of thedifferential equation. y'' - 3y' + 2y = 0

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Q: 7. Find two linearly independent power series solutions about the point x = 0. у" - ху' — у %3D0

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Q: 2 Obtain (a) the half-range cosine series and (b) the half-range sine series for the function 0. 0(…

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Q: deal with Hermite’s equation: y′′−2xy′+2αy =0, −∞< x <∞................ (11.3.13) Q. Determine…

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Q: obtain the half range sine series for ex in (0,pie)

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Q: Determine all values of the constant α for which x2y′′+x(1−2x)y′+[2(α−1)x −α2]y =0 has two linearly…

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