1. Solve for x(t) and y(t), given that x(0)=D4 and y(0)=3 dx dy + x + 4y = 10; a dt dt x(t) 2+2e cos 2t-2esin2t x(t) 2-2e cos 2t + 2esin2t Option 1 O Option 2 (t) = 2+2e' cos 2t - 2e'sin2t æ(t) = 2- 2e' cos 2t + 2e'sin2t Option 3 Option 4 None of the Choices

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the integro-differential equation
1. Solve for x(t) and y(t), given that x(0)=D4 and y(0)=D3
dx
dy
+ x + 4y = 10; a
dt
dt
x(t) 2+2e ' cos 2t-2esin2t
x(t) 2-2e cos 2t + 2esin2t
Option 1
Option 2
(t) = 2+2e cos 2t- 2e'sin2t
æ(t) = 2 – 2e' cos 2t + 2e'sin2t
Option 3
Option 4
None of the Choices
Transcribed Image Text:1. Solve for x(t) and y(t), given that x(0)=D4 and y(0)=D3 dx dy + x + 4y = 10; a dt dt x(t) 2+2e ' cos 2t-2esin2t x(t) 2-2e cos 2t + 2esin2t Option 1 Option 2 (t) = 2+2e cos 2t- 2e'sin2t æ(t) = 2 – 2e' cos 2t + 2e'sin2t Option 3 Option 4 None of the Choices
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