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Consider the initial value problem Let L[y(t)] = Y(3), then Y(s) equals Select one: 2s +2...
You found the solution to the initial value problem to be -2s S 1 [e y(t)...
You found the solution to the initial value problem to be -2s S 1 [e y(t) = L-1 94 +10 Evaluate y(1). O y(1) = 1 Oy(1) = -1 O y(1) = 0 y(1) = -2 Oy(1) = 2
Consider the initial value problem for function y, y" – ' - 20 y=0, y(0) =...
Consider the initial value problem for function y, y" – ' - 20 y=0, y(0) = 2, 7(0) = -4. a. (4/10) Find the Laplace Transform of the solution, Y(8) = L[y(t)]. Y(8) = M b. (6/10) Find the function y solution of the initial value problem above, g(t) = M Consider the initial value problem for function y, Y" – 8y' + 25 y=0, y(0) = 5, y(0) 3. a. (4/10) Find the Laplace Transform of the solution. Y(s)...
(1 point) Consider the following initial value problem, in which an input of large amplitude and short duration has bee...
(1 point) Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function. "8 6(t 1), y(0) = 3, /(0) = 0. a. Find the Laplace transform of the solution. Y(8)= L{y(t)} = | (3s+e^(-s)-24)/(s^2-8s) b. Obtain the solution y(t) y(t)=1/8(e^(8t-8)-1 )h (t- 1 )+6e^(8t)-3 c. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t 1. if...
Consider the initial value problem for function y given by, Consider the initial value problem for...
Consider the initial value problem for function y given by,
Consider the initial value problem for function y given by, (a) Find the Laplace Transform of the source function, F(s) = L[-3 F(s) = (b) Find the Laplace Transform of the solution, Y(s) Lt) Y(s) - (c) Find the solution y(t) of the initial value problem above. s(t) Recall: If needed, the step function at c is denoted as u(t - c) -1] Help Entering Answers Preview My Anawers Submit...
Consider the initial value problem O if 0 t<3 y+5y={11 if 3 <5 if 5 t00,...
Consider the initial value problem O if 0 t<3 y+5y={11 if 3 <5 if 5 t00, y(0) = 10 (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 by Y. Do not move any terms from one side of the equation to the other (until you get to part (b) below). 11 A-3s)/5-11e-5s)/5+10 (S+5)Y (b) Solve your equation for Y Y =Lly) (c) Take...
(1 point) Consider the following initial value problem: y" – 3ý' – 40y = sin(6t) y(0)...
(1 point) Consider the following initial value problem: y" – 3ý' – 40y = sin(6t) y(0) = -4, y'(0) = 3 Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s) = ((3434/949)(e^(85))+((167/442)(e^(-5s)))+(((9/2428)(cos(3S)-((49/2429)(sir
having trouble finding y(t) NOT Correct (1 point) Consider the initial value problem y"+16y 48t, y(0)3,...
having trouble finding y(t)
NOT Correct (1 point) Consider the initial value problem y"+16y 48t, y(0)3, /(0)-9. 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). (s 2Y(s)-3s-9)+16Y(s) help (formulas) 48/s 2 b. Solve your equation for Y(s). C{y(t))=48/(s 2(s2+ 16)...
Given the initial value problem below, what is L{f}or Y? Write L{f}or Y. y - y...
Given the initial value problem below, what is L{f}or Y? Write L{f}or Y. y - y - 2y = 0; y(0) = - = 5 LaTeX : +7+28 (8-2)(s+1) None of the above LTY. -7+25 LaTeX: ' (3-2)(3-1) 7-28 Lalen. (8-2)(8 - 1) LaTeX: 7-28 (8+2)(8-1)
Problem #2: Let y(t) be the solution to the following initial value problem 6, y'(0)3 y"7y...
Problem #2: Let y(t) be the solution to the following initial value problem 6, y'(0)3 y"7y Find Y(s), the Laplace transform ofy() Enter your answer as a symbolic function of s, as in these examples Problem #2: Submit Problem #2 for Grading Just Save Attempt #3 Problem #2 Attempt # 2 Attempt #5 Attempt#1 Attempt #4 Your Answer: Your Mark
Solve the initial value problem y" + 3y' + 2y = 8(t – 3), y(0) =...
Solve the initial value problem y" + 3y' + 2y = 8(t – 3), y(0) = 2, y'(0) = -2. Answer: y = u3(t) e-(-3) - u3(t)e-2(1-3) + 2e-, y(t) ={ 2e-, t<3, -e-24+6 +2e-l, t>3. 5. [18pt] b) Solve the initial value problem y' (t) = cost + Laplace transforms. +5° 867). cos (t – 7)ds, y(0) – 1 by means of Answer:
You found the solution to the initial value problem to be -2s S 1 [e y(t) = L-1 94 +10 Evaluate y(1). O y(1) = 1 Oy(1) = -1 O y(1) = 0 y(1) = -2 Oy(1) = 2
Consider the initial value problem for function y, y" – ' - 20 y=0, y(0) = 2, 7(0) = -4. a. (4/10) Find the Laplace Transform of the solution, Y(8) = L[y(t)]. Y(8) = M b. (6/10) Find the function y solution of the initial value problem above, g(t) = M Consider the initial value problem for function y, Y" – 8y' + 25 y=0, y(0) = 5, y(0) 3. a. (4/10) Find the Laplace Transform of the solution. Y(s)...
(1 point) Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function. "8 6(t 1), y(0) = 3, /(0) = 0. a. Find the Laplace transform of the solution. Y(8)= L{y(t)} = | (3s+e^(-s)-24)/(s^2-8s) b. Obtain the solution y(t) y(t)=1/8(e^(8t-8)-1 )h (t- 1 )+6e^(8t)-3 c. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t 1. if...
Consider the initial value problem for function y given by,
Consider the initial value problem for function y given by, (a) Find the Laplace Transform of the source function, F(s) = L[-3 F(s) = (b) Find the Laplace Transform of the solution, Y(s) Lt) Y(s) - (c) Find the solution y(t) of the initial value problem above. s(t) Recall: If needed, the step function at c is denoted as u(t - c) -1] Help Entering Answers Preview My Anawers Submit...
Consider the initial value problem O if 0 t<3 y+5y={11 if 3 <5 if 5 t00, y(0) = 10 (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 by Y. Do not move any terms from one side of the equation to the other (until you get to part (b) below). 11 A-3s)/5-11e-5s)/5+10 (S+5)Y (b) Solve your equation for Y Y =Lly) (c) Take...
(1 point) Consider the following initial value problem: y" – 3ý' – 40y = sin(6t) y(0) = -4, y'(0) = 3 Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s) = ((3434/949)(e^(85))+((167/442)(e^(-5s)))+(((9/2428)(cos(3S)-((49/2429)(sir
having trouble finding y(t)
NOT Correct (1 point) Consider the initial value problem y"+16y 48t, y(0)3, /(0)-9. 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). (s 2Y(s)-3s-9)+16Y(s) help (formulas) 48/s 2 b. Solve your equation for Y(s). C{y(t))=48/(s 2(s2+ 16)...
Given the initial value problem below, what is L{f}or Y? Write L{f}or Y. y - y - 2y = 0; y(0) = - = 5 LaTeX : +7+28 (8-2)(s+1) None of the above LTY. -7+25 LaTeX: ' (3-2)(3-1) 7-28 Lalen. (8-2)(8 - 1) LaTeX: 7-28 (8+2)(8-1)
Problem #2: Let y(t) be the solution to the following initial value problem 6, y'(0)3 y"7y Find Y(s), the Laplace transform ofy() Enter your answer as a symbolic function of s, as in these examples Problem #2: Submit Problem #2 for Grading Just Save Attempt #3 Problem #2 Attempt # 2 Attempt #5 Attempt#1 Attempt #4 Your Answer: Your Mark
Solve the initial value problem y" + 3y' + 2y = 8(t – 3), y(0) = 2, y'(0) = -2. Answer: y = u3(t) e-(-3) - u3(t)e-2(1-3) + 2e-, y(t) ={ 2e-, t<3, -e-24+6 +2e-l, t>3. 5. [18pt] b) Solve the initial value problem y' (t) = cost + Laplace transforms. +5° 867). cos (t – 7)ds, y(0) – 1 by means of Answer:
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