de() What is the total response for a system defined by differential equation + by (t) = + 4z (t)? Assumne the input a (t) = eu(t) and with conditions dt dt y (0) = 3; =0 %3D O 6e at. 9/2et. 3/2et O óe 2t + 9/2e t. 3/2et O óe 2t. 9/2e 3t + 3/2et O -óe t + 9/2e t + 3/2et

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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What is the total response for a system defined by differential equation
dy()
+ 5
+ by (t) =
de (9)
+ 4a (t)? Assume the input a (t) = eu(t) and with conditions
dt
y (0) = 3;
= 0
dt
O 6e 2t . 9/2e 3t - 3/2et
O óe t + 9/2e 3t - 3/2et
O óe 2t - 9/2e st + 3/2et
O -óe 2t + 9/2e3t + 3/2et
Transcribed Image Text:What is the total response for a system defined by differential equation dy() + 5 + by (t) = de (9) + 4a (t)? Assume the input a (t) = eu(t) and with conditions dt y (0) = 3; = 0 dt O 6e 2t . 9/2e 3t - 3/2et O óe t + 9/2e 3t - 3/2et O óe 2t - 9/2e st + 3/2et O -óe 2t + 9/2e3t + 3/2et
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