2.5.4 Exercises Exercise 2.5.2: Find a particular solution of y"-y-6y = e2x. %3D

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Chapter1: Functions And Models
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Please answer question 2.5.2 in the image. With details on how to do it. Also please make handwriting legible and clear to understand. 

Thank you.

2.5.4 Exercises
Exercise 2.5.2: Find a particular solution of y" – y - 6y = e2x.
· Exercise 2.5.3: Find a particular solution of y" – 4y' + 4y = e2x.
%3D
· Exercise 2.5.4: Solve the initial value problem y" + 9y = cos(3x) + sin(3x) for y(0) = 2, y'(0) = 1.
%D
´ Exercise 2.5.5: Set up the form of the particular solution but do not solve for the coefficients for
y(4) – 2y" + y'" = e*.
Exercise 2.5.6: Set up the form of the particular solution but do not solve for the coefficients for
y(4) – 2y" +y" = e* + x + sin x.
f narameters find a particular solution of y" – 2y' + y = e
four
Transcribed Image Text:2.5.4 Exercises Exercise 2.5.2: Find a particular solution of y" – y - 6y = e2x. · Exercise 2.5.3: Find a particular solution of y" – 4y' + 4y = e2x. %3D · Exercise 2.5.4: Solve the initial value problem y" + 9y = cos(3x) + sin(3x) for y(0) = 2, y'(0) = 1. %D ´ Exercise 2.5.5: Set up the form of the particular solution but do not solve for the coefficients for y(4) – 2y" + y'" = e*. Exercise 2.5.6: Set up the form of the particular solution but do not solve for the coefficients for y(4) – 2y" +y" = e* + x + sin x. f narameters find a particular solution of y" – 2y' + y = e four
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