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In this question, we consider the differential equation y" - 3y + ay = f(x) (a) Suppose that in Eq₂ (2), fax) = 6 Write down the order and degree of the equation, then Find two values of X so that y=exx is a solution of the equation & Write the differential equation as a system of first order differential equations, then use the eigenvalue method to find the general solution of the system.

In this question, we consider the differential equation y" - 3y + ay = f(x) (a) Suppose that in Eq₂ (2), fax) = 6 Write down the order and degree of the equation, then Find two values of X so that y=exx is a solution of the equation & Write the differential equation as a system of first order differential equations, then use the eigenvalue method to find the general solution of the system.

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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Question In this question, we consider the differential equation y" - 3y + by = f(x) (a) Suppose that in Eq₂ (2), foo = 6 (i) Write down the order and degree of the equation, then Find two values of X so that y=e** is a solution of the equation 3 & Write the differential equation as a system of first order differential equations, then use the eigenvalue method to find the general solution of the system.
Transcribed Image Text:Question In this question, we consider the differential equation y" - 3y + by = f(x) (a) Suppose that in Eq₂ (2), foo = 6 (i) Write down the order and degree of the equation, then Find two values of X so that y=e** is a solution of the equation 3 & Write the differential equation as a system of first order differential equations, then use the eigenvalue method to find the general solution of the system.
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