Solve the system 6 2 *+[ 2 by following the following steps. 1. Find et 2. Find de f(s)ds. fe 30] - [**] ( 2₁ (0) 1 and 2₂(0)=-4 10 e f(s)ds 3. Use the above to find the general solution. Recall that 2₁ (0) 1 and 2₂ (0) - - 4 #₁(t)- T₂(t)-
Solve the system 6 2 *+[ 2 by following the following steps. 1. Find et 2. Find de f(s)ds. fe 30] - [**] ( 2₁ (0) 1 and 2₂(0)=-4 10 e f(s)ds 3. Use the above to find the general solution. Recall that 2₁ (0) 1 and 2₂ (0) - - 4 #₁(t)- T₂(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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![Solve the system
z'+
2. Find
by following the following steps.
1. Find et
etp
S
-6
2
e f(s)ds=
20] ²-["].²
,2₁ (0) 1 and 2₂(0) =
-10
I'+
fe f(s)ds.
3. Use the above to find the general solution. Recall that 21 (0) 1 and 2₂ (0)=-4
z₁(t)-
22(1) -
Solve the system
6-2
2 10
etp
[*].
by using the given information.
=
T₂(t)-
=
-4
₁(0) = 1 and ₂(0) = 4
est (1-2t) est(-2t)
est (21)
est (1+2t)
14 12t 14
[*e (0) -- + 4²-44
te¹2-¹2 + 2
144
144
T₁(t) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ed463dd-b1c6-4017-8f25-2cce71bab3c0%2Fd8f8a88f-1938-4dee-a5c0-7d3db350e7be%2Fqcvbaqw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the system
z'+
2. Find
by following the following steps.
1. Find et
etp
S
-6
2
e f(s)ds=
20] ²-["].²
,2₁ (0) 1 and 2₂(0) =
-10
I'+
fe f(s)ds.
3. Use the above to find the general solution. Recall that 21 (0) 1 and 2₂ (0)=-4
z₁(t)-
22(1) -
Solve the system
6-2
2 10
etp
[*].
by using the given information.
=
T₂(t)-
=
-4
₁(0) = 1 and ₂(0) = 4
est (1-2t) est(-2t)
est (21)
est (1+2t)
14 12t 14
[*e (0) -- + 4²-44
te¹2-¹2 + 2
144
144
T₁(t) =
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