Find the general solution.
11. r'(t) = (1 -3)<< (t)
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
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...
find the general solution for 6,7,8
(differential equation)
6. L'(t) = 1 1 -1 r(t) -3 -8 -5 3 2 4 7. :'(t) = 2 0 2 r(t) 4 2 3 1 8. r'(t) = 3 2 -1 2 1 4 -1 (t) 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...
This is a E-Math class
3. Find the general solution of the equation (4) t y(3) = t.
3. Find the general solution of the equation (4) t y(3) = t.
This is a differential equations course, please answer all the
questions.
Find the general solution.
13. z() = (5 = 3) =(0) 14. 2'(t) = ( 45 21) =( 10 0 15. z'(t) = (2 1 2 1 -2] (t) 3 2 - 1 -30 2 16. z'(t) = 1 -1 -2 -1 1 0 r(t)
Question 3: Find the general solution of the system given as: -18 X'=13 Question 4: Find the eigenvectors and eigenvalues for the following system. 2 1 X's 2 6 5 2 Х Question 5: Solve the initial value problem. (State only the real part of solution) 8 - 2 1 XCO) - (3)
(5) Find the general solution of the equation 6 – tan tan -1=2 tan . (6) Find the general solution of the equation 3 cosO + 7 cos – 6= 0. (7) Find the general solution of the equation 5 cos @ +9= 12 sinº O. (8) Find the general solution of the equation 3 sec + 3 cos + 10 = 0.
Find the general solution of the following differential
equation: (1) ?′′ + 5?′ + 6? = 2????*?^? (2) ?′′ + 2?′ + ? = ? +
?e^(-t).
(please solve Question No.7 only)
7. (30 points) Find the general solution of the following differential equation: (1) y" + 5y' + 6y = 2etsint (2) y" + 2y + y=t+te-t 8. (10 points) Use the method of variation of parameters to find a particular solution of y" + y = 1/sin (t),...
4. Let (Q1.Q2.Qs)T be the least squares solution of A(Q1,.Q2.Qs)T b, where r 3 -1 5 1 -1 -13 3 13 7 -5 -20 -10 13 3 L 16 13 -13J Let Q - In(3+ IQil+2 Q2l+3 Qsl). Then T-5sin (100Q) satisfies: -(A) 0ST<1.
4. Let (Q1.Q2.Qs)T be the least squares solution of A(Q1,.Q2.Qs)T b, where r 3 -1 5 1 -1 -13 3 13 7 -5 -20 -10 13 3 L 16 13 -13J Let Q - In(3+ IQil+2...