Solution Found!
Use the results of Exercise 8 and Theorem 3.4 to give the general solution of the
Chapter 7, Problem 9(choose chapter or problem)
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
Questions & Answers
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