Consider the initial value problem -4 y' ` = ( ² =2^ ) y, y (0) = ( ²¹ ). a) Find the eigenvalues and eigenvectors b) Find a fundamental matrix c) Find the solution of the initial value problem

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Q: Find a particular solution of (;) ;)-(: :) (;) - (*) -5 sint 4 -4t A

A: a = 4  Particular solution:     xpyp=t+cost1+4 sint

Q: 2. x' = Find the general solution of the system of equations. -20 28 8 -14 22 4 X -21 21 14

A: Find: the general solution of the system of equations. x'=-20288-14224-212114x

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Q: 4) (a) The matrix A is factored in the form PDP!. Use diagonalization theorem to find the eigen…

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Q: 2 2 -6 8. The general solution of x' = x is: (Hint: 6 is an eigenvalue.) 2 -1 -3 -2 - 1 -2 3 1 (a) x…

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Q: Solve the given initial-value problem. (Enter any column vector as a row vector.) X' = -1-2 + *' -…

A: solution of the given question is like this:

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A: Solution

Q: In Step 2 (Description of the steps), I see that you're finding the eigen values of matrix A. I see…

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