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2. (a) Find the general solution of d²y dx² +4y= 10 cos(3x). (b) Show that the system of equations +2x = 3t-1, -2y = = 1-5t can be written as a single second order equation of the form d²x d[² + 4x = 6t-7.

2. (a) Find the general solution of d²y dx² +4y= 10 cos(3x). (b) Show that the system of equations +2x = 3t-1, -2y = = 1-5t can be written as a single second order equation of the form d²x d[² + 4x = 6t-7.

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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2. (a) Find the general solution of d²y dx² +4y= 10 cos(3x). (b) Show that the system of equations dy dt +2x = 3t-1, -2y = 1-5t can be written as a single second order equation of the form d²x + 4x = 6t - 7.
Transcribed Image Text:2. (a) Find the general solution of d²y dx² +4y= 10 cos(3x). (b) Show that the system of equations dy dt +2x = 3t-1, -2y = 1-5t can be written as a single second order equation of the form d²x + 4x = 6t - 7.
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