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Mathematics, 29.07.2019 18:20 baeethtsadia
(this exercise shows that if you know one nontrivial solution of y 00 + p(x)y 0 + q(x)y = 0, you can use abel’s formula to find another.) suppose p and q are continuous and y1 is a solution of y 00 + p(x)y 0 + q(x)y = 0 (a) that has no zeros on (a, b). let p(x) = r p(x) dx be any antiderivative of p on (a, b). (a) show that if k is an arbitrary nonzero constant and y2 satisfies
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(this exercise shows that if you know one nontrivial solution of y 00 + p(x)y 0 + q(x)y = 0, you can...
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