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- The differential equation 1 d x² dr d (2²²) + v +y=0 has the solution y sin (a) Write down the Maclaurin expansion for sin x to third order, and use this to determine a second order expansion for y. (b) Verify that this expansion satisfies the differential equation for y to first order in z.

- The differential equation 1 d x² dr d (2²²) + v +y=0 has the solution y sin (a) Write down the Maclaurin expansion for sin x to third order, and use this to determine a second order expansion for y. (b) Verify that this expansion satisfies the differential equation for y to first order in z.

Advanced Engineering Mathematics
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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- The differential equation 1 d +y=0 x² dr dx has the solution y = sin (a) Write down the Maclaurin expansion for sin x to third order, and use this to determine a second order expansion for y. (b) Verify that this expansion satisfies the differential equation for y to first order in z.
Transcribed Image Text:- The differential equation 1 d +y=0 x² dr dx has the solution y = sin (a) Write down the Maclaurin expansion for sin x to third order, and use this to determine a second order expansion for y. (b) Verify that this expansion satisfies the differential equation for y to first order in z.
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