Solve the differential equations using the method of undetermined coefficients. If no initial conditions are given, give the general solution. 1. y" - 4y = x² + 17x 3. y" + 7y' + 12y = 2e5* У(о) %3 о, у (о) - 2 5. y" - 5y' + 4y = 17 sin x + 3e²* 2. y" - 7y' = 5x - 3 4. y" + 2y' + 5y = 3 sin x y(o) = 1, y'(o) = 1 6. y" + 5y' + 4y = 8x² + 3 + 2 cos 2x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve the differential equations using the method of undetermined coefficients. If no initial
conditions are given, give the general solution.
y"-
- 4y = x² + 17x
3. y" + 7y' + 12y = 2e5*
y(o) =
2. y" – 7y' = 5x – 3
4. y" + 2y' + 5y = 3 sin x
у(о) - 1, у(о) -
6. y" + 5y' + 4y = 8x² + 3 + 2 cos 2X
1.
= 0, y'(o) =
5. y" - 5y' + 4y = 17 sin x + 3e*
= 1
Transcribed Image Text:Solve the differential equations using the method of undetermined coefficients. If no initial conditions are given, give the general solution. y"- - 4y = x² + 17x 3. y" + 7y' + 12y = 2e5* y(o) = 2. y" – 7y' = 5x – 3 4. y" + 2y' + 5y = 3 sin x у(о) - 1, у(о) - 6. y" + 5y' + 4y = 8x² + 3 + 2 cos 2X 1. = 0, y'(o) = 5. y" - 5y' + 4y = 17 sin x + 3e* = 1
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