Solve the given initial-value problem. dx 3D — 9х — у dt dy 3D 16х — у dt x(1) = 0, y(1) = 1 %3D e° + 5 x(t) = e St 6 y(t)
Solve the given initial-value problem. dx 3D — 9х — у dt dy 3D 16х — у dt x(1) = 0, y(1) = 1 %3D e° + 5 x(t) = e St 6 y(t)
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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Please help format answer x(t)= and y(t) =
second image is an example of how the answer should be fromated

Transcribed Image Text:Solve the given initial-value problem.
dx
— 9х — У
dt
dy
16х — у
dt
%3D
x(1) = 0, y(1) = 1
+ 5
,-5t
x(t)
%D
y(t) :
%3D
II

Transcribed Image Text:Solve the given initial-value problem.
dx
= -7x - y
dt
dy:
3
dt
9х — У
x(1) = 0, y(1) = 1
x(t)
|d
* 4-“(1 – t)
%3D
y(t)
|d
%3D
et-4"(3t – 2)
4–4t
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