1. Solve for x(t) and y(t), given that x(0)=4 and y(0)=3 dy dx + x + 4y = 10; æ dt - y = 0 dt
1. Solve for x(t) and y(t), given that x(0)=4 and y(0)=3 dy dx + x + 4y = 10; æ dt - y = 0 dt
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
11
![Solve the integro-differential equation
1. Solve for x(t) and y(t), given that x(0)=4 and y(0)=3
dx
+ x + 4y = 10; x
dt
dy
- y = 0
dt
x(t) = 2+2e- cos 2t – 2etsin2t
x(t) = 2 – 2et cos 2t + 2esin2t
Option 1
Option 2
x(t) = 2+2e' cos 2t – 2e'sin2t
z(t) = 2 – 2e' cos 2t + 2e'sin2t
Option 3
Option 4
None of the Choices](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c4f55e4-6b1c-4de5-82ce-5e63b6017e68%2F6dd21f1e-52da-41de-9dac-56193ceca2da%2F9t9kvy9_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the integro-differential equation
1. Solve for x(t) and y(t), given that x(0)=4 and y(0)=3
dx
+ x + 4y = 10; x
dt
dy
- y = 0
dt
x(t) = 2+2e- cos 2t – 2etsin2t
x(t) = 2 – 2et cos 2t + 2esin2t
Option 1
Option 2
x(t) = 2+2e' cos 2t – 2e'sin2t
z(t) = 2 – 2e' cos 2t + 2e'sin2t
Option 3
Option 4
None of the Choices
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