(5) Find a series solution for y(x) about z = 0 for the differential equation y" - 2xy + xy = 0 in terms of two independent series solutions yo(r) and y₁ (r). For what values of A is the solution a polynomial? Find the polynomial solution for λ = 4.

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Q: 5Q. Solve the differential equation 2y" + xy' + y = 0 by power series method.

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Q: (6) Find the general solution. x+ye ²y = 0

A: This question is about ordinary differential equation.

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