4. [8pts] Find a general solution \((x^2+1)y'' - 4xy' + 6y = 0\)
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Next, we need to solve for the roots of the characteristic equation: r = (l ± sqrt(l^2 - 4(1)(6))) / 2 r = (l ± sqrt(l^2 - 24)) / 2 r1 = (l + sqrt(l^2 - 24)) / 2 r2 = (l - sqrt(l^2 - 24)) / 2 Now we have three cases to consider: Show more…
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