Consider the equation below: u’=u2 – (7/x)u + 8/x2; u=-y’/y Obtain the linear second order equation for y using u=-y’/y Find the general solution of the resulting second order equation Use the information from b) to find one particular solution v1 of (1). Then use the substitution v = w + v1 to solve (1).

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 equation below:

u’=u2 – (7/x)u + 8/x2; u=-y’/y

  1. Obtain the linear second order equation for y using u=-y’/y
  2. Find the general solution of the resulting second order equation
  3. 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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