Use the results of Exercise 8 and Theorem 3.4 to give the general solution of the

Chapter 7, Problem 9

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QUESTION:

Use the results of Exercise 8 and Theorem 3.4 to give the general solution of the differential equations: a. y __ (t) 2y _ (t) + 2y(t) = 0 b. y ___ (t) 3y __ (t) + 32y _ (t) 3y(t) = 0 c. y(4) 4y ___ (t) + 62y __ (t) 43y _ (t) + 4y(t) = 0

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QUESTION:

Use the results of Exercise 8 and Theorem 3.4 to give the general solution of the differential equations: a. y __ (t) 2y _ (t) + 2y(t) = 0 b. y ___ (t) 3y __ (t) + 32y _ (t) 3y(t) = 0 c. y(4) 4y ___ (t) + 62y __ (t) 43y _ (t) + 4y(t) = 0

ANSWER:

Step 1 of 2

Theorem 3.4

The general solution of nth order differential equations is,

X(t) satisfies the first order system of ODEs.

Where A is the matrix of coefficients. The general solution of the system of differential equations is

 

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