y" + 2y' + y = 3t + 9 – (12tet + 2et) with initial values y(0) = 5 and y'(0) = 4. A. Write the characteristic equation for the associated homogeneous equation. (Use r for your variable.) B. Write the fundamental solutions for the associated homogeneous equation. Y1 = Y2 = 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). y = E. Plug in the initial values and solve for cCi and c2 to find the solution to the initial value problem. y =
y" + 2y' + y = 3t + 9 – (12tet + 2et) with initial values y(0) = 5 and y'(0) = 4. A. Write the characteristic equation for the associated homogeneous equation. (Use r for your variable.) B. Write the fundamental solutions for the associated homogeneous equation. Y1 = Y2 = 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). y = E. Plug in the initial values and solve for cCi and c2 to find the solution to the initial value problem. y =
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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