Consider the following differential equation in one dimension x²y" - 8xy' + 18y = .2 0, a) Solve for y (x) using power series methods. b) If y (1) = 1, and y'(1) = 0, what is y (-1) = ?
Consider the following differential equation in one dimension x²y" - 8xy' + 18y = .2 0, a) Solve for y (x) using power series methods. b) If y (1) = 1, and y'(1) = 0, what is y (-1) = ?
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mathematical physics
Transcribed Image Text:4.
Consider the following differential equation in one dimension
x² y" – 8xy' + 18 y =
0,
a)
Solve for y (x) using power series methods.
b)
If y (1) = 1, and y' (1) = 0, what is y (-1) = ?
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