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In this problem you will use undetermined coefficients to solve the nonhomogeneous equation "+6y+9y=6te-3t with initial values y(0) = =-2 and '(0) = 2. +18t+3 A. Write the characteristic equation for the associated homogeneous equation. (User for your variable.) B. Write the fundamental solutions for the associated homogeneous equation. 31 = 32= c. Write the form of the particular solution and its derivatives. (Use A, B, C, etc. for undetermined coefficients. Y = Y' = Y" = D. Write the general solution. (Use c1 and c2 for c₁ and c₂). У E. Plug in the initial values and solve for c₁ and c₂ to find the solution to the initial value problem. y= Hint: No fractions are required in the solution or answer to this problem.

In this problem you will use undetermined coefficients to solve the nonhomogeneous equation "+6y+9y=6te-3t with initial values y(0) = =-2 and '(0) = 2. +18t+3 A. Write the characteristic equation for the associated homogeneous equation. (User for your variable.) B. Write the fundamental solutions for the associated homogeneous equation. 31 = 32= c. Write the form of the particular solution and its derivatives. (Use A, B, C, etc. for undetermined coefficients. Y = Y' = Y" = D. Write the general solution. (Use c1 and c2 for c₁ and c₂). У E. Plug in the initial values and solve for c₁ and c₂ to find the solution to the initial value problem. y= Hint: No fractions are required in the solution or answer to this problem.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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In this problem you will use undetermined coefficients to solve the nonhomogeneous equation "+6y+9y=6te-3t with initial values y(0) = =-2 and '(0) = 2. +18t+3 A. Write the characteristic equation for the associated homogeneous equation. (User for your variable.) B. Write the fundamental solutions for the associated homogeneous equation. 31 = 32= c. Write the form of the particular solution and its derivatives. (Use A, B, C, etc. for undetermined coefficients. Y = Y' = Y" = D. Write the general solution. (Use c1 and c2 for c₁ and c₂). У E. Plug in the initial values and solve for c₁ and c₂ to find the solution to the initial value problem. y= Hint: No fractions are required in the solution or answer to this problem.
Transcribed Image Text:In this problem you will use undetermined coefficients to solve the nonhomogeneous equation "+6y+9y=6te-3t with initial values y(0) = =-2 and '(0) = 2. +18t+3 A. Write the characteristic equation for the associated homogeneous equation. (User for your variable.) B. Write the fundamental solutions for the associated homogeneous equation. 31 = 32= c. Write the form of the particular solution and its derivatives. (Use A, B, C, etc. for undetermined coefficients. Y = Y' = Y" = D. Write the general solution. (Use c1 and c2 for c₁ and c₂). У E. Plug in the initial values and solve for c₁ and c₂ to find the solution to the initial value problem. y= Hint: No fractions are required in the solution or answer to this problem.
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