The method of Problem 20 can be extended to second order equations with variable coefficients. If y1 is a known nonvanishing sol

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3 years ago

7

The method of Problem 20 can be extended to second order equations with variable coefficients. If y1 is a known nonvanishing sol

ution of y′′ + p(t)y′ + q(t)y = 0, show that a second solution y2 satisfies (y2 /y1 )′ = W (y1 , y2 )/y21 , where W (y1 , y2 ) is the Wronskian of y1 and y2 . Then use Abel’s formula [Eq. (23) of Section 3.2] to determine y2 .

Mathematics

1 answer:

lions [1.4K] · Answer 1 · 2021-12-05T17:31:32+03:00

lions [1.4K]3 years ago

7 0

Answer:24y

Step-by-step explanation: