This is question #4 for the key reference, Please help me understand this problem?
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This is question #4 for the key reference, Please help me
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8. Find...
Find the solution of the given initial value problem. y" + 2y' +2y = cost+8(-5); y(0)...
Find the solution of the given initial value problem. y" + 2y' +2y = cost+8(-5); y(0) = 3, y'(0) = 5 ° 20) = us20e" sin + + cost ( +ş) + sint (36+}) x() ==««n6e8cose + cost (3e* +) + sint (80* + }) 20 = usz beé" sin + sing (54* +5.) +cos (34++}) ° 40 = =uaz(Dei* cost + cost ("* + 5 ) + sint (3*+ }) 209 = 192(e“ cose + cost (* +) +sint(****+})
6. Solve the initial value problem y" + y = 0, y(0)=0, y'0=1 (a) -COS X...
6. Solve the initial value problem y" + y = 0, y(0)=0, y'0=1 (a) -COS X (b) -sin x (c) -sin x + cos x (d) -sin x COS X (e) COS X (f) sin x (g) sin x-COS X (h) sin x + cos x 7. Find a particular solution yn of the differential equation (using the method of undetermined coefficients): y + y =p2 (a) 2e (b) 3e (c) 4e: (d) 6e (e) 2/2 (f) e2/3 (g) e2/4...
Part B please! Use the elimination method to find a general solution for the given linear...
Part B please!
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 9x - 10y + sint y' = 5x -y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. 51 O A. y(t) = C, e -41 cos 5t + Cge -41 sin 5t + no cost + 200 sint O B. y(t) =C, e4+ Czte 4 + 2...
D Question 5 D Question 7 20 pts Find the Laplace transform. £{/0) of the following...
D Question 5 D Question 7 20 pts Find the Laplace transform. £{/0) of the following function: Solve the following Initial Value Problem: " + 4y = sint - Ul(t - 2) sin(t - 2n), y(0) -0,(0) = 0 * (+64 +5) +ed (cos(36) + sin(5t)) None of the given answers is correct Owt) --sint + sin(2t) - (t - 2x)} sin(t - 2x) - sin(21 – 2*))] (t) = sint - sin(2) - 11(- 21) sin(-2) - sin(2t -...
Use graphs to find groups of expressions that appear to be identically equal. (a) 2cost +...
Use graphs to find groups of expressions that appear to be identically equal. (a) 2cost + sin t +1 (b) cos (c) cos (21) (d) 1 - 2sin? (e) 2 sint cost (f) cos't - sint (9) sin (21) (h) sin (31) (i) —2sin’t + sin t +3 (i) sin (21) cos + + cos (2t) sin 1-sint 1 + cos (21) (k) (1) sint 2 (m) ( cas 1-1) 1 - cost Select each group of identical expressions. x...
Problem 2. In this problem, we will use Euler's formula to derive some trigonometric identities. (a)...
Problem 2. In this problem, we will use Euler's formula to derive some trigonometric identities. (a) Using Euler's formula and the property that ez+w = e ew for any complex numbers z and | W, show that cost + sin? t = 1. (Hint: Start with 1 = eit-it.) (b) Similarly, show that cos(2t) = cos? t – sint. (Hint: Start with cos(2t) = Re(ezit).) (c) Similarly, show that sin(2t) = 2 sint cost. (d) Similary, show that cos(3t) =...
4. Solve the initial value problem y" - y = 0, y(0)=3, y'(0)=5 (a) y =...
4. Solve the initial value problem y" - y = 0, y(0)=3, y'(0)=5 (a) y = 4e - (b) y = 5e-2 (c) y = 60"-3e (d) y = 7e-4e (e) y = 2e +e (f) y=e' +2e (g) y = 3e* (h) y=-e +4e- 5. Solve the initial value problem y" + 2y + y = 0, y(0-1, y (1)=0 (a) y=e"* + 4xe (b) y= e' +3xe" (c) y= + 2xe * (d) y= e^ + xe" (e)...
*Matlab code, please! only 1d (a) 1. Apply the Euler’s Method with step size h =...
*Matlab code, please! only 1d
(a) 1. Apply the Euler’s Method with step size h = 1/4 to the initial value problem on [0, 1]. y1 = yi + y2 yí = -yi – 12 ya = - y1 + y2 on J y2 = yi – Y2 yı(0) = 1 yı(0) = 1 y2 (0) = 0 | Y2(0) = 0 y =-12 yí = yi + 3y2 ya = 2yı + 2y2 (d) yı(0) = 1 yi(0) =...
Problem 7.4. Solve the following IVP's. 2t 10 e 8.e a) 7.y10e Yo = 4 b)...
Problem 7.4. Solve the following IVP's. 2t 10 e 8.e a) 7.y10e Yo = 4 b) y"- 2.8. y 6.e, -2, yo -1 8 y 6. e4t. yo c) y"-5.4y 3 sin(t)5. cos (t), yo= 0, y= (d) y"y yo = 4, y = - Yo 0, y = 4 7
Can someone please explain to me the solution to this problem! I don't understand the solution,...
Can someone please explain to me the solution to this
problem! I don't understand the solution, I just need a detail
explanation step by step so I can understand this problem with all
the subparts! Thanks!
3.5 Find the power spectrum for each of the following wide-sense stationary random processes that have the given autocorrelation sequences (a) rx(k) 26(k)j8(k -1)-j(k+1) (b) T(k)(k)2(0.5) (c) T(k)26(k)+cos(Tk/4) (d) rx(k)=' 10 k k< 10 ; otherwise Solutioin (a) This autocorrelation sequence is finite in...
Find the solution of the given initial value problem. y" + 2y' +2y = cost+8(-5); y(0) = 3, y'(0) = 5 ° 20) = us20e" sin + + cost ( +ş) + sint (36+}) x() ==««n6e8cose + cost (3e* +) + sint (80* + }) 20 = usz beé" sin + sing (54* +5.) +cos (34++}) ° 40 = =uaz(Dei* cost + cost ("* + 5 ) + sint (3*+ }) 209 = 192(e“ cose + cost (* +) +sint(****+})
6. Solve the initial value problem y" + y = 0, y(0)=0, y'0=1 (a) -COS X (b) -sin x (c) -sin x + cos x (d) -sin x COS X (e) COS X (f) sin x (g) sin x-COS X (h) sin x + cos x 7. Find a particular solution yn of the differential equation (using the method of undetermined coefficients): y + y =p2 (a) 2e (b) 3e (c) 4e: (d) 6e (e) 2/2 (f) e2/3 (g) e2/4...
Part B please!
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 9x - 10y + sint y' = 5x -y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. 51 O A. y(t) = C, e -41 cos 5t + Cge -41 sin 5t + no cost + 200 sint O B. y(t) =C, e4+ Czte 4 + 2...
D Question 5 D Question 7 20 pts Find the Laplace transform. £{/0) of the following function: Solve the following Initial Value Problem: " + 4y = sint - Ul(t - 2) sin(t - 2n), y(0) -0,(0) = 0 * (+64 +5) +ed (cos(36) + sin(5t)) None of the given answers is correct Owt) --sint + sin(2t) - (t - 2x)} sin(t - 2x) - sin(21 – 2*))] (t) = sint - sin(2) - 11(- 21) sin(-2) - sin(2t -...
Use graphs to find groups of expressions that appear to be identically equal. (a) 2cost + sin t +1 (b) cos (c) cos (21) (d) 1 - 2sin? (e) 2 sint cost (f) cos't - sint (9) sin (21) (h) sin (31) (i) —2sin’t + sin t +3 (i) sin (21) cos + + cos (2t) sin 1-sint 1 + cos (21) (k) (1) sint 2 (m) ( cas 1-1) 1 - cost Select each group of identical expressions. x...
Problem 2. In this problem, we will use Euler's formula to derive some trigonometric identities. (a) Using Euler's formula and the property that ez+w = e ew for any complex numbers z and | W, show that cost + sin? t = 1. (Hint: Start with 1 = eit-it.) (b) Similarly, show that cos(2t) = cos? t – sint. (Hint: Start with cos(2t) = Re(ezit).) (c) Similarly, show that sin(2t) = 2 sint cost. (d) Similary, show that cos(3t) =...
4. Solve the initial value problem y" - y = 0, y(0)=3, y'(0)=5 (a) y = 4e - (b) y = 5e-2 (c) y = 60"-3e (d) y = 7e-4e (e) y = 2e +e (f) y=e' +2e (g) y = 3e* (h) y=-e +4e- 5. Solve the initial value problem y" + 2y + y = 0, y(0-1, y (1)=0 (a) y=e"* + 4xe (b) y= e' +3xe" (c) y= + 2xe * (d) y= e^ + xe" (e)...
*Matlab code, please! only 1d
(a) 1. Apply the Euler’s Method with step size h = 1/4 to the initial value problem on [0, 1]. y1 = yi + y2 yí = -yi – 12 ya = - y1 + y2 on J y2 = yi – Y2 yı(0) = 1 yı(0) = 1 y2 (0) = 0 | Y2(0) = 0 y =-12 yí = yi + 3y2 ya = 2yı + 2y2 (d) yı(0) = 1 yi(0) =...
Problem 7.4. Solve the following IVP's. 2t 10 e 8.e a) 7.y10e Yo = 4 b) y"- 2.8. y 6.e, -2, yo -1 8 y 6. e4t. yo c) y"-5.4y 3 sin(t)5. cos (t), yo= 0, y= (d) y"y yo = 4, y = - Yo 0, y = 4 7
Can someone please explain to me the solution to this
problem! I don't understand the solution, I just need a detail
explanation step by step so I can understand this problem with all
the subparts! Thanks!
3.5 Find the power spectrum for each of the following wide-sense stationary random processes that have the given autocorrelation sequences (a) rx(k) 26(k)j8(k -1)-j(k+1) (b) T(k)(k)2(0.5) (c) T(k)26(k)+cos(Tk/4) (d) rx(k)=' 10 k k< 10 ; otherwise Solutioin (a) This autocorrelation sequence is finite in...
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