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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...
Question 2 Find the general solution to 21 2 -2 X1 X2 1 4 32 Enter Answer D Question 3 Find the solution to the initial value problem X1 1 -2 21 2] [3 (2:0) = [] X1(0) 22(0) X2 3 6 X2 Enter Answer Question 2 Find the general solution to 21 2 -2 X1 X2 1 4 32 Enter Answer D Question 3 Find the solution to the initial value problem X1 1 -2 21 2] [3 (2:0)...
Find the general solution to 2 -2 21 [es] 1 4 32
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 for 14,15,16
differential equation
14. z't) 1 -5 21) =(0) 15. z'(t) = 10 0 2 1 -2 (t) 3 2 -1 16. x'(t) = -3 0 2 1 -1 0 (t) -2 -1 0 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 g(t) are...
(Find the general solution of the following systems of ODES n(32 0 1 3. y (t) A y(t), Aj 0/ 4 4. y (t)A y(t)+g(t) (0-1. qlt) Aij 2cost - 8sint/ 4 Please show all steps with explanations. Thank you
(Find the general solution of the following systems of ODES n(32
0 1 3. y (t) A y(t), Aj 0/ 4
4. y (t)A y(t)+g(t) (0-1. qlt) Aij 2cost - 8sint/ 4
Please show all steps with explanations. Thank you
any help on these two questions please??
4.4: Let 1 0 1 and b(t)- -1 1 0 (a) Find the general real solution of the linear ODE (t) A(t). (b) Find the general real solution of the linear ODE x(t)-Ax(t) + b(t). (c) Solve the initial value problem x(t) = A2(t) + b(t), x(0) = (-2,0,2)T 4.5: Determine the general solution of the ODE x"(t)-x"(t)-r(t) + x(t) = t cost.
4.4: Let 1 0 1 and b(t)- -1 1 0...
Differential Equations, please find the general solution
2 5. '(t) = - ( 11 1 21 1| c(t) 2 11/
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
Helpful Formulas:
* Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0 Useful Formulas/Pacts for PDEs/Fourier Series L. n m) L, 2,2 cos ( z) dz =
* Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0
Useful Formulas/Pacts for PDEs/Fourier Series...