Consider the Riccatti equation v'=v2-(7/x)v+8/x2 a) use the substitution v=-y'/y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the Riccatti equation

v'=v2-(7/x)v+8/x2

a) use the substitution

v=-y'/y

b) find the general solution of the resulting second order equation

c) Use the information from b) to  find one particular solution v1 of (1).
Then use the substitution v = w + v1 to solve (1).

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Hey the problem in part a states that the substitution is v= -(y'/y) can you please help me out?

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