Find the general solution of 4 -8 2 cosht 12 -6 (cosht(+32 sinh) cosht + 2...
Find the general solution to X1 2 X1 -2 4 32 32
Find the general solution to 2 -2 21 [es] 1 4 32
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 of y(4) + 24" +y= 0. 8.8 A BRIEF TABLE OF LAPLACE TRANSFORMS (0) F(8) - (s > 0) " ni! (x > 0) (n = integer > 0) 1", p > 1 T(+1) (x > 0) 604 11! (s > 0) (n integer > 0) CON WI N ya wa (x > 0) sint (x > 0) Al cost NA (6 A)? + w (8 > A) sinut (> ) cosh bt (8 > 161)...
(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.
2 -e Recall that cosh(x) er te 2 and sinh(2) Any general solution of y'' – y=0, can be written as y(x) = ci cosh(x) + C2 sinh(x), for arbitrary constants C1, C2. O True O False
005 10.0 points The shaded region shown in 2 sinht +--- 2 cosht is bounded by the x-axis, the upper half of the curve given parametrically by x(t) = 2 cosht, y(t) = 2 sinht, and the line x = 2 cosht. Find the area of this shaded region. 1. area = sinh 2t – 2t 2. area = 2(sinh 2t) – t 3. area = 2t 4. area = sinh 2t + 2t 5. area = sinh 2t +t
problem 6 please! In each of Problems 1 through 12 find the general solution of the given system of equations. 13 1. X' X+ 2. x' = X + 3 13 e 1 2 COST -2t 3. x' = X+ ( 4. x' = X + ( 1 sint 4 –zet 4 5. x' = X+ t> 0 8 -4 65-7-2)*+(24) t> 0
Chapter 3, Section 3.3, Question 02 Consider the given system of equation. 2 -4 X 6 -8 (a) Find the general solution of the given system of equation 1 +c2e2t VI The general solution is given by X (t) = ci where V2. |and 21 >A2 =| ; vi = and v2 (b) Draw a direction field and a phase portrait. Describe the behavior of the solutions as t - o. 1) If the initial condition is a multiple of...
4. (a) (8 points) Find the general solution of x' = Ax, for A= 2. Write the solution in vector form. 1-1 -3 (b) (4 points) Using your vector solution, write a matrix solution X(t). (c) (4 points) Using the matrix solution from part (b), determine en