Please solve this problem for me. Please break it down step by step. Do Not answer...
Please solve this problem for me. Please break it down step by step. Do Not answer this problem if its not exact as below.
Find the Laplace transform Y(s) of the solution to the following initial-value problem. Do not attempt to recover y(t) from each Y(s) you obtain.
y'' - 4y = t^3 with y(0) = 1 and y'(0) = 3
The correct answer is Y(s) = s+3 / s^2-4 + 6 / s^4(s^2-4)
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Please solve this problem for me. Please break it down step by
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please please please answer all! its very appreciated! Solve the initial value problem below using the...
please please please answer all! its very appreciated!
Solve the initial value problem below using the method of Laplace transforms. y'' + 4y' - 12y = 0, y(0) = 2, y' (O) = 36 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) = 0 (Type an exact answer in terms of e.) Solve the initial value problem below using the method of Laplace transforms. y'' - 8y'...
I need help with d and h. Thank you. 24.1. Find the Laplace transform Y(s) of...
I need help with d and h. Thank
you.
24.1. Find the Laplace transform Y(s) of the solution to each of the following initial-value problems. Just find Y (s) using the ideas illustrated in examples 24.1 and 24.2. Do NOT solve the problem using methods developed before we started discussing Laplace transforms and then computing the transform! Also, do not attempt to recover y(t) from each Y(s) you obtain. Yle y' + 4y = 0, with y(0) = 3 Y...
(1 point) Consider the initial value problem d'y dy dt2 dt dt Write down the Laplace transform of the left-hand sid...
(1 point) Consider the initial value problem d'y dy dt2 dt dt Write down the Laplace transform of the left-hand side of the equation given the initial conditions Your answer should be a function of s and Y with Y denoting the Laplace transform of the solution y Write down the Laplace transform of the right-hand side of the equation Your answer should be a function of s only. Next equate your last two answers and solve for Y. You...
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below....
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" + 4y = 512 - 2. y(0)=0, 7(0) = -8 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms. Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" + 4y = 5t2 - 2. y(0) = 0, y'(O) = - 8 Click here to...
17. Use the Laplace transform to solve the initial value problem: y" + 4y' + 4y...
17. Use the Laplace transform to solve the initial value problem: y" + 4y' + 4y = 2e-, y(0) = 1, (O) = 3. 18. Use the Laplace transform to solve the initial value problem: 4y" – 4y + 5y = 4 sin(t) – 4 cos(1), y(0) = 0, y(0) = 11/17.
Please help me with c. (1 point) Consider the initial value problem y" 4y g(t), y(0) 0, y(0) = 0, if 0<t4 where...
Please help me with c.
(1 point) Consider the initial value problem y" 4y g(t), y(0) 0, y(0) = 0, if 0<t4 where g(t) if 4too a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transfom of y(t) by Y (8). Do not move any terms from one side of the equation to the other (until you get to part (b) below). ... s 2Y(s)+4Y(s) (e(-4s)-s)(4+1/s)+1/ s^2...
(1 point) Use the Laplace transform to solve the following initial value problem x, = 10x...
(1 point) Use the Laplace transform to solve the following initial value problem x, = 10x + 4y, y=-6x + e4, x(0) = 0, y(0) = 0 Let x(s) L {x(t)) , and Y(s) = L {y(t)) Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for Y(s) and X(s): S)E Y(s) = Find the partial fraction decomposition of X(s) and Y(s) and their inverse Laplace transforms to find the solution of the...
(1 point) Consider the initial value problem d2y dy 8 +41y8 cos(2t), dt dy (0) y(0) = -2 -6 dt dt2 Write down the Lapla...
(1 point) Consider the initial value problem d2y dy 8 +41y8 cos(2t), dt dy (0) y(0) = -2 -6 dt dt2 Write down the Laplace transform of the left-hand side of the equation given the initial conditions (sA2-8s+41)Y+2s-18 Your answer should be a function of s and Y with Y denoting the Laplace transform of the solution y. Write down the Laplace transform of the right-hand side of the equation (-8s+32)/(sA2-8s+20) Your answer should be a function of s only...
STRUGGLING WITH THIS ONE PLEASE HELP ME (1 point) Consider the initial value problem y" +...
STRUGGLING WITH THIS ONE PLEASE HELP ME
(1 point) Consider the initial value problem y" + 16 = 32t, y(O) = 4, y(0) = 3. a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). = help (formulas) b. Solve your equation...
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below....
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" - 25y = g(t), y(0) = 1, y'(0) = 4, where g(t)= [ t, t>2 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) (Type an exact answer in terms of e.)
please please please answer all! its very appreciated!
Solve the initial value problem below using the method of Laplace transforms. y'' + 4y' - 12y = 0, y(0) = 2, y' (O) = 36 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) = 0 (Type an exact answer in terms of e.) Solve the initial value problem below using the method of Laplace transforms. y'' - 8y'...
I need help with d and h. Thank
you.
24.1. Find the Laplace transform Y(s) of the solution to each of the following initial-value problems. Just find Y (s) using the ideas illustrated in examples 24.1 and 24.2. Do NOT solve the problem using methods developed before we started discussing Laplace transforms and then computing the transform! Also, do not attempt to recover y(t) from each Y(s) you obtain. Yle y' + 4y = 0, with y(0) = 3 Y...
(1 point) Consider the initial value problem d'y dy dt2 dt dt Write down the Laplace transform of the left-hand side of the equation given the initial conditions Your answer should be a function of s and Y with Y denoting the Laplace transform of the solution y Write down the Laplace transform of the right-hand side of the equation Your answer should be a function of s only. Next equate your last two answers and solve for Y. You...
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" + 4y = 512 - 2. y(0)=0, 7(0) = -8 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms. Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" + 4y = 5t2 - 2. y(0) = 0, y'(O) = - 8 Click here to...
17. Use the Laplace transform to solve the initial value problem: y" + 4y' + 4y = 2e-, y(0) = 1, (O) = 3. 18. Use the Laplace transform to solve the initial value problem: 4y" – 4y + 5y = 4 sin(t) – 4 cos(1), y(0) = 0, y(0) = 11/17.
Please help me with c.
(1 point) Consider the initial value problem y" 4y g(t), y(0) 0, y(0) = 0, if 0<t4 where g(t) if 4too a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transfom of y(t) by Y (8). Do not move any terms from one side of the equation to the other (until you get to part (b) below). ... s 2Y(s)+4Y(s) (e(-4s)-s)(4+1/s)+1/ s^2...
(1 point) Use the Laplace transform to solve the following initial value problem x, = 10x + 4y, y=-6x + e4, x(0) = 0, y(0) = 0 Let x(s) L {x(t)) , and Y(s) = L {y(t)) Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for Y(s) and X(s): S)E Y(s) = Find the partial fraction decomposition of X(s) and Y(s) and their inverse Laplace transforms to find the solution of the...
(1 point) Consider the initial value problem d2y dy 8 +41y8 cos(2t), dt dy (0) y(0) = -2 -6 dt dt2 Write down the Laplace transform of the left-hand side of the equation given the initial conditions (sA2-8s+41)Y+2s-18 Your answer should be a function of s and Y with Y denoting the Laplace transform of the solution y. Write down the Laplace transform of the right-hand side of the equation (-8s+32)/(sA2-8s+20) Your answer should be a function of s only...
STRUGGLING WITH THIS ONE PLEASE HELP ME
(1 point) Consider the initial value problem y" + 16 = 32t, y(O) = 4, y(0) = 3. a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). = help (formulas) b. Solve your equation...
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" - 25y = g(t), y(0) = 1, y'(0) = 4, where g(t)= [ t, t>2 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) (Type an exact answer in terms of e.)
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