. Consider a nonhomogeneous equation y" – 5y' + 6y = f(x) where f(x) is provided below. Determine the form of the particular solution yp. Do not solve for the coefficients. I want the final correct guess, not necessarily the first guess. (a) f(x) = 1822 – 36a + 11 (b) f(x) = 4e3= (c) f(x) = 2e-7 + 6 sin(5æ)
. Consider a nonhomogeneous equation y" – 5y' + 6y = f(x) where f(x) is provided below. Determine the form of the particular solution yp. Do not solve for the coefficients. I want the final correct guess, not necessarily the first guess. (a) f(x) = 1822 – 36a + 11 (b) f(x) = 4e3= (c) f(x) = 2e-7 + 6 sin(5æ)
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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I I need help with both 1 and 2 please
Transcribed Image Text:1. Consider a nonhomogeneous equation y" – 5y' + 6y = f(x) where f(x) is provided below. Determine
the form of the particular solution yp. Do not solve for the coefficients.
I want the final correct guess, not necessarily the first guess.
(a) f(x) = 1822 – 36x + 11
(b) f(x) = 4e3z
(c) f(x) = 2e-7= + 6 sin(5æ)
%3D
%3D
2. (a) Find a particular solution to y" + 2y' + y = x².
Lebl 2.5.103
(b) Find the general solution.
(c) Solve the initial value problem: y" + 2y' + y = x², y(0) = 1, y(0) = 2
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