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![Here the given Differential equation is y+y = cost with yroa!, Y (0) = 0 Taking Laplace Trary form on both side of a Ley] r](http://img.homeworklib.com/questions/5ef83ae0-e014-11ea-a360-5591facb660f.png?x-oss-process=image/resize,w_560)
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Use Laplace Transform to identify Y(s) of the DE: " + y = cost, with given...
Use Laplace Transform to identify Y(s) of the DE: y"-y'-by = 0, given y(0) = 1,...
Use Laplace Transform to identify Y(s) of the DE: y"-y'-by = 0, given y(0) = 1, y'(O) = 2. O None of them Both are correct. Y(s) = 4 5(8-3) + 5(8+2) OY (s) = 8+1 (5-3)(8+2)
Solve IVP by the Laplace Transform: y" + y = ezt given y(0) = 0, y'(O)...
Solve IVP by the Laplace Transform: y" + y = ezt given y(0) = 0, y'(O) = 1. a) Identify Y(s) = L{y} 3) Solve for y(t). Both of them a) Y (8) 21 + 3 52 +1 $-2 b) y(t) = } (e2t - cost + 3 sin t) 1 3 a) Y (8) 8 g2+1 + $-2 g²+1 b) y(t) = 22 cost + 3 sint None of them
Solve IVP by the Laplace Transform: y" + y = ezt , given y(0) = 0,...
Solve IVP by the Laplace Transform: y" + y = ezt , given y(0) = 0, y'(O) = 1. a) Identify Y(s) = L{y}. 3) Solve for y(t). 8 a) Y (s) = + $2 b) y(t) = } (e2t – cost + 3 sin t) Both of them None of them 3 2+1 +22+1 O a) Y (s) = -2 b) y(t) = e2t - cost + 3 sint
Need Help with this Laplace transform Solve IVP by the Laplace Transform: y"+y=e2t , given y(0)...
Need Help with this Laplace transform
Solve IVP by the Laplace Transform: y"+y=e2t , given y(0) = 0, y'(0) = 1. a) Identify Y(s) = L{y}. 3) Solve for y(t).
Differntial equations Classwork 1. Find the inverse Laplace transform of the given functions. (k) Y(s) =...
Differntial equations
Classwork 1. Find the inverse Laplace transform of the given functions. (k) Y(s) = (1) Y(s) = ? (m) Y(s) = 52 +58 +4 (n) y .)_ 1 (n) Y(s) = 53 +52 (0) H(-) = 32 + 25 + 4 1 ZS 4 (p) F(s) = * e-s (q) G(s) = (8 + 1)2 + 3 (r) H(s) = (s + 4)3
Question 9 3 pts The Laplace transform of the piecewise continuous function J4, 0< < 3...
Question 9 3 pts The Laplace transform of the piecewise continuous function J4, 0< < 3 f(t) is given by 2, t> 3 2 L{f} (2 - e-st), 8 >0. S L{f} (1 – 3e-), 8>0. 8 2 L{f} (3 - e-s), 8 >0. S L{f} = (1 – 2e-st), s > 0. None of them Question 10 3 pts yll - 4y = 16 cos 2t To find the solution of the Initial-Value Problem y(0) = 0 the y...
Use the Laplace transform to solve the following initial value problem: 44" + 2y + 18y...
Use the Laplace transform to solve the following initial value problem: 44" + 2y + 18y = 3 cos(3t), y(0) = 0, y(0) = 0. a. First, take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation and then solve for L{y(t)}. Do not perform partial fraction decomposition since we will write the solution in terms of a convolution integral. 3s L{y(t)}(s) = (452 + 25 +2s + 18)(52+9) b. Express the...
Determine the Laplace transform (Y(s)) for the differential equation below: 2y () + Зу() — 32,...
Determine the Laplace transform (Y(s)) for the differential equation below: 2y () + Зу() — 32, у(0) — 0, у'(0) — 0, у" (0) — 0 У"(). Y(s) (32) (s^3 +2*s^2 +3s + 0) O Y(s) = (2) /(s^3 s^2 + 2s + 3) Y(s) (3*sA2 + 8"s^1 +15) / (s^3 + s^2 + 2s + 3) = Y(s) (32)/ (s2 2s3) +
Use the Laplace transform to solve the given system of differential equations. Use the Laplace transform...
Use the Laplace transform to solve the given system of
differential equations.
Use the Laplace transform to solve the given system of differential equations. of + x - x + y = 0 dx + dy + 2y = 0 x(0) = 0, y(0) = 1 Hint: You will need to complete the square and use the 1st translation theorem when solving this problem. x(t) = y(t) =
Use the Laplace transform to solve the given initial-value problem. y'' + gy' s(t – 1),...
Use the Laplace transform to solve the given initial-value problem. y'' + gy' s(t – 1), y(0) = 0, y'(0) = 1 y(t) ])+([ ]). 2(t- Need Help? Read It Master It Talk to a Tutor Submit Answer
Use Laplace Transform to identify Y(s) of the DE: y"-y'-by = 0, given y(0) = 1, y'(O) = 2. O None of them Both are correct. Y(s) = 4 5(8-3) + 5(8+2) OY (s) = 8+1 (5-3)(8+2)
Solve IVP by the Laplace Transform: y" + y = ezt given y(0) = 0, y'(O) = 1. a) Identify Y(s) = L{y} 3) Solve for y(t). Both of them a) Y (8) 21 + 3 52 +1 $-2 b) y(t) = } (e2t - cost + 3 sin t) 1 3 a) Y (8) 8 g2+1 + $-2 g²+1 b) y(t) = 22 cost + 3 sint None of them
Solve IVP by the Laplace Transform: y" + y = ezt , given y(0) = 0, y'(O) = 1. a) Identify Y(s) = L{y}. 3) Solve for y(t). 8 a) Y (s) = + $2 b) y(t) = } (e2t – cost + 3 sin t) Both of them None of them 3 2+1 +22+1 O a) Y (s) = -2 b) y(t) = e2t - cost + 3 sint
Need Help with this Laplace transform
Solve IVP by the Laplace Transform: y"+y=e2t , given y(0) = 0, y'(0) = 1. a) Identify Y(s) = L{y}. 3) Solve for y(t).
Differntial equations
Classwork 1. Find the inverse Laplace transform of the given functions. (k) Y(s) = (1) Y(s) = ? (m) Y(s) = 52 +58 +4 (n) y .)_ 1 (n) Y(s) = 53 +52 (0) H(-) = 32 + 25 + 4 1 ZS 4 (p) F(s) = * e-s (q) G(s) = (8 + 1)2 + 3 (r) H(s) = (s + 4)3
Question 9 3 pts The Laplace transform of the piecewise continuous function J4, 0< < 3 f(t) is given by 2, t> 3 2 L{f} (2 - e-st), 8 >0. S L{f} (1 – 3e-), 8>0. 8 2 L{f} (3 - e-s), 8 >0. S L{f} = (1 – 2e-st), s > 0. None of them Question 10 3 pts yll - 4y = 16 cos 2t To find the solution of the Initial-Value Problem y(0) = 0 the y...
Use the Laplace transform to solve the following initial value problem: 44" + 2y + 18y = 3 cos(3t), y(0) = 0, y(0) = 0. a. First, take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation and then solve for L{y(t)}. Do not perform partial fraction decomposition since we will write the solution in terms of a convolution integral. 3s L{y(t)}(s) = (452 + 25 +2s + 18)(52+9) b. Express the...
Determine the Laplace transform (Y(s)) for the differential equation below: 2y () + Зу() — 32, у(0) — 0, у'(0) — 0, у" (0) — 0 У"(). Y(s) (32) (s^3 +2*s^2 +3s + 0) O Y(s) = (2) /(s^3 s^2 + 2s + 3) Y(s) (3*sA2 + 8"s^1 +15) / (s^3 + s^2 + 2s + 3) = Y(s) (32)/ (s2 2s3) +
Use the Laplace transform to solve the given system of
differential equations.
Use the Laplace transform to solve the given system of differential equations. of + x - x + y = 0 dx + dy + 2y = 0 x(0) = 0, y(0) = 1 Hint: You will need to complete the square and use the 1st translation theorem when solving this problem. x(t) = y(t) =
Use the Laplace transform to solve the given initial-value problem. y'' + gy' s(t – 1), y(0) = 0, y'(0) = 1 y(t) ])+([ ]). 2(t- Need Help? Read It Master It Talk to a Tutor Submit Answer
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