4. Solve the following initial-value problem: 2 2 for 3-dimensional vector X. Present the final answer in terms of єkt, ektsinrnt and ekt cos mt. 4. Solve the following initial-value problem: 2...
Problem 6. Solve the following initial value problem: cos(x) y + ysin(x)-2xc082(x), y(n/4)-- 15V2㎡ /32
(1 point) Solve the initial value problem dr dt + 4x = cos(4) with x(0) = -5. z(t) = 1
Solve the following initial value problem 1 2 3 4 01 63 0 012 x +e' 0001 o x(0)0 Solve the following initial value problem 1 2 3 4 01 63 0 012 x +e' 0001 o x(0)0
[-12 Points] DETAILS Solve the given initial-value problem. 1 -4 -6 X' 2 -3 X, X(0) = 1 1 -2 1 -( W NU -3 X(t) = Submit Answer [-12 Points] DETAILS Solve the given initial-value problem. x = $ =)x, x(0) = -(-3) X(t) =
Problem 3: Solve the following initial value / Neumann problem by separation of variables: (8 points) U4 - 9uzz = 0, (t, x) € Rx (0,2), u(0, 2) = cos? (17), 4(0, 1) = [1 $("))", uz(t,0) = un(t, 2) = 0. - COS
Solve initial value problem using Laplace transform Problem 4 Solve the initial value problems given below --ез, y(0) 2. a. b. f ty 3 cos t, y(0)-
Question 16 Use the Laplace transform to solve the initial-value problem [y, +5y, = 2 cos( 3 x), y(0)=-5] a) @ y(x) = 2 cos( 3x) +5e5 x 80 sx5 17 17 c) y(x) 2 cos(3 x) -5 90 sx 5 17 cos(3 x ) + sin (3 x ) None of the above.
solve the given initial-value problem For Problems 37-40, solve the given initial-value problem. 38. y" = cos x, y(0) = 2, y'(0) = 1. 40. y” = xe", y(0) = 3, y'(0) = 4.
I need help Problem 3: Solve the following initial value / Neumann problem by separation of variables: (8 points) Unt -90.x = 0, (t, x) € Rx (0,2), u(0,x) = cos? ), (0, 3) = [1 – cos (3)], 1,(t,0) = 0,,(t, 2) = 0.
advanced math homework help before final 5. Consider the following initial value problems: x" + 16x = -20e-2 x(0) = 1 2'0) = 0 (a) (4 points) Solve for X(s), the Laplace transform of r(t). (b) (10 points) Solve for e(t) by inverting X(s). (c) (3 points) Let yt) = 2 cos(4t) - 7 sin(4t) (This is one of the pieces to your answer above). Fill in the right-hand sides to the initial value problem that y solves y (0)...