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
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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
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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