Find the general solution. Please and thanks.
2. x'(t) = 0 1 1 1 0 0 1 2(t) 1 1 0 1 3. x'(t) = 1) =(t) i 1 -i
Problem 1 Find the general solution:
13. :'(t) = (6 - 3) =(0) (45 21) =() 14. I'(t) = 15. r'(t) = 1 0 0 2 1 -2 (t) 3 2 -1 16. :'(t) = -3 0 2 1 -1 0 (t) -2 -1 Recall: Given two functions f(t) and g(t), which are differentiable on an interval I, • If the Wronskian W(8,9)(to) #0 for some to El, then f and g are linearly independent for allt el. If f(t)...
FIND THE GENERAL SOLUTION
Need ALL 4. Differential Equations class
13. x(t) E) (1) 2) st) 14. 7'(t) = ( 1 5 0 15. 7'(t) = ( 2 1 32 0 -20 x(t) - 1 16. 7'(t) = 3 0 2 1 -10 | z(t) -2 -1
Find the general solution of the given system. 5 -1 2 -1 0 5 x(t) = eBook
Find the general solution of the given system. 5 -1 2 -1 0 5 x(t) = eBook
find the general solution
differential equation
13. 2' (t) = | r(t) (3-1( (1 21) (2) 14. :'(t) = -5 15. :'(t) = 10 0 2 1 -2(t) 32 -1 16. :'(t) = '-3 0 2 1 -1 0r(t) -2 -1 Recall: Given two functions f(t) and g(t), which are differentiable on an interval I, • If the Wronskian W(8,9)(to) #0 for some to El, then f and g are linearly independent for all t E I. If f(t) and...
This is a differential equations course.
Find the general solution.
16. x't) = 1-30 2 1 -1 -2 -1 -1 0 o z(t)
1.Find a general solution to the given differential equation. 21y'' + 8y' - 5y = 0 A general solution is y(t) = _______ .2.Solve the given initial value problem. y'' + 3y' = 0; y(0) = 12, y'(0)= - 27 The solution is y(t) = _______ 3.Find three linearly independent solutions of the given third-order differential equation and write a general solution as an arbitrary linear combination of them z"'+z"-21z'-45z = 0 A general solution is z(t) = _______
7. 20 pts. Find the general solution of the following 2 x 2 system, and express your answer in terms of real-valued functions: 1 1 (t) (t) -1 0 Solution
7. 20 pts. Find the general solution of the following 2 x 2 system, and express your answer in terms of real-valued functions: 1 1 (t) (t) -1 0 Solution
Problem 1 Find the general solution:
9. 7(t) = 3 4 ar(t) ) (4) () 10. I'(t) 11. It) = 2. | z (t) 12. (t) = ( ) (1) Recall: Given two functions f(t) and g(t), which are differentiable on an interval I, • If the Wronskian W(8,9)(to) #0 for some to El, then f and g are linearly independent for allt el. If f(t) and g(t) are linearly dependent on I, then W(f:9)(t) = 0 for all tel....
Find the general solution.
15. (t) = 10 0 21 -2 | r(t) 32 -1