Nonhomogeneous system is provided below -1 -4 -8 For the homogeneous system that is associated to it, create a fundamental matrix and then find its inverse. Write your answer below 4 X x+ St Multiply with the nonhomogeneous term and perform integration. Write your answer below 7 [x-¹ F dt = +0₁ +0₂ Provide the solution for the system. Write your answer below x = C₁ =] +0² [=]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 2.87
Nonhomogeneous system is provided below
-1
x
3 -8
For the homogeneous system that is associated to it, create a fundamental matrix and then find its
inverse. Write your answer below
4e" St
-4t
|X =
est
|=
-4 t
x +
3e"
Multiply with the nonhomogeneous term f and perform integration. Write your answer below
√x-¹ F dt =
+C₁
+C₂
Provide the solution for the system. Write your answer below
x = C₁
[=]+²²[=]
Transcribed Image Text:Question 2.87 Nonhomogeneous system is provided below -1 x 3 -8 For the homogeneous system that is associated to it, create a fundamental matrix and then find its inverse. Write your answer below 4e" St -4t |X = est |= -4 t x + 3e" Multiply with the nonhomogeneous term f and perform integration. Write your answer below √x-¹ F dt = +C₁ +C₂ Provide the solution for the system. Write your answer below x = C₁ [=]+²²[=]
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