Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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10 Inhomogeneous linear system IVP Find the solution of - 8 3e² where you are given that the eigenvalues and eigenvectors of the 2 x 2 matrix are: A √2-[7¹] = A₁ = 2 y A₂ = -1 V₁ = Yo =
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Transcribed Image Text:10 Inhomogeneous linear system IVP Find the solution of - 8 3e² where you are given that the eigenvalues and eigenvectors of the 2 x 2 matrix are: A √2-[7¹] = A₁ = 2 y A₂ = -1 V₁ = Yo =
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Step 1: Writing complementary function
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Step 2: Fundamental matrix and its inverse
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Step 3: Calculation for particular solution
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Step 4: Particular solution and write the general solution
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Step 5: Using given initial conditions and find the values of arbitrary constants
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Step 6: Solution by using the method variation of parameters.
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Solution
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