(1) Find the first two terms of both the inner and outer solutions of d²y + (1 + x)² dy + y = 0 dx2 dx for 0 < € <<< 1 with the boundary conditions y(0) = 0 and y(1) = e¹/2. [20 marks]

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 30E
Question
(1) Find the first two terms of both the inner and outer solutions of
d²y
+ (1 + x)²
dy
+ y = 0
dx2
dx
for 0 < € <<< 1 with the boundary conditions y(0) = 0 and y(1) = e¹/2. [20 marks]
Transcribed Image Text:(1) Find the first two terms of both the inner and outer solutions of d²y + (1 + x)² dy + y = 0 dx2 dx for 0 < € <<< 1 with the boundary conditions y(0) = 0 and y(1) = e¹/2. [20 marks]
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