Question

**DIFFERENTIAL EQUATIONS**

Refer to the given 3x3 coefficient matrix with initial conditions (see attached image). Find the particular solution to the initial value problem.

Step 1

To solve we have to find eigen vectors for this we have to find eigen values.

To find eigen values,

Take determinate

Then,

Step 2

Solving above equation we can get

Now,

Step 3

Reducing to echelon form

Now eigen...

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