Solve the system of differential equations dx =-2y +t dy using differential operators of the form Dy: dt dy =-3x + 2t –1 dt dt Note for example that (D+5)(3t +2) = 3+15t +10 = 15t+13 Solve for x(t) first, then solve for y(t). There should only be two parameters, cG and c, in x(t) and y(t). Use the method of Undetermined Coefficients to find x, and yp.
Solve the system of differential equations dx =-2y +t dy using differential operators of the form Dy: dt dy =-3x + 2t –1 dt dt Note for example that (D+5)(3t +2) = 3+15t +10 = 15t+13 Solve for x(t) first, then solve for y(t). There should only be two parameters, cG and c, in x(t) and y(t). Use the method of Undetermined Coefficients to find x, and yp.
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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Transcribed Image Text:Solve the system of differential equations
dx
=-2y+t
dt
dy
using differential operators of the form Dy:
dy
=-3x + 2t –1
dt
dt
Note for example that (D+5)(3t +2) =3+15t +10 =15t +13
Solve for x(t) first, then solve for y(t). There should only be two parameters, cg and c,
in x(t) and y(t). Use the method of Undetermined Coefficients to find x, and yp.
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