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I use auxiliary equation to solve this problem
(5 points) Find y as a function of tif 8y" + 31y = 0, y'(0) =...
(5 points) Find y as a function of tif 8y" + 31y = 0, y'(0) = 4. y(0) = 3, g(t) = Note: This particular webWork problem can't handle complex numbers, so write your answer in terms of sines and cosines, rather than using e to a complex power.
Find y as a function of t if 9y′′+35y=0, y(0)=6,y′(0)=9. y(t)= 27 35 6*cossqr 3: Set(35)])"sin([sqrt(35)]/3)*t...
Find y as a function of t if
9y′′+35y=0,
y(0)=6,y′(0)=9.
y(t)=
27 35 6*cossqr 3: Set(35)])"sin([sqrt(35)]/3)*t 6 Cos V35 3 t + sin t incorre 35 3 The answer above is NOT correct. (1 point) Find y as a function of t if 9y" + 35y = 0, y(0) = 6, y'(0) = 9. y(t) = cos(sqrt(35y3)t + 27/sqrt(35)sin(sqrt(35y3) Note: This particular webWork problem can't handle complex numbers, so write your answer in terms of sines and cosines, rather than...
(1 point) Solve y" + 2y' + 2y = 4te* cos(t). 1) Solve the homogeneous part:...
(1 point) Solve y" + 2y' + 2y = 4te* cos(t). 1) Solve the homogeneous part: y" + 2y' + 2y = 0 for Yh, using a real basis. Note the coded answer is ordered. If your basis is correct and your answer is not accepted, try again with the other ordering. Yn = C1 te^(-+)*cost +C2 te^(-t)*cost 2) Compute the particular solution y, via complexifying the differential equation: Note that the forcing et cos(t) = Re(el-1+i)t). You will solve...
(1 point) Solve y" + 2y + 2y = 4te-t cos(t). 1) Solve the homogeneous part:...
(1 point) Solve y" + 2y + 2y = 4te-t cos(t). 1) Solve the homogeneous part: y' + 2y + 2y = 0 for Yh, using a real basis. Note the coded answer is ordered. If your basis is correct and your answer is not accepted, try again with the other ordering. Yn = C1 e^(-t)sin(t) +C2 e^(-t)cos(t) . 2) Compute the particular solution yp via complexifying the differential equation: Note that the forcing e * cos(t) = Re(el 1+i)t)....
(1 point) Find y as a function of t if 250y" + 4y' + 3y =...
(1 point) Find y as a function of t if 250y" + 4y' + 3y = 0, y'(0) = 3. y(0) = 6, y(t) = Note: This problem cannot interpret complex numbers. You may need to simplify your answer before submitting it.
please states whaere the answer is . (1 point) Solve y" + 2y + 2y =...
please states whaere the answer is .
(1 point) Solve y" + 2y + 2y = 4te-cos(t). 1) Solve the homogeneous part: y" + 2y + 2y = 0 for yo, using a real basis. Note the coded answer is ordered. If your basis is correct and your answer is not accepted, try again with the other ordering. Yn = 0^-t)cos( + e^(-t)sin((3 - 2) Compute the particular solution y, via complexifying the differential equation: Note that the forcing e...
(1 point) Let g(t) = e2t. a. Solve the initial value problem y – 2y =...
(1 point) Let g(t) = e2t. a. Solve the initial value problem y – 2y = g(t), y(0) = 0, using the technique of integrating factors. (Do not use Laplace transforms.) y(t) = b. Use Laplace transforms to determine the transfer function (t) given the initial value problem $' – 20 = 8(t), $(0) = 0. $(t) = c. Evaluate the convolution integral (0 * g)(t) = Só "(t – w) g(w) dw, and compare the resulting function with the...
2y"(t) + 3 y' (t) + y(t)=x"(t) +x'(t) - x(t), y(0) = -2, y'(0) = 0,...
2y"(t) + 3 y' (t) + y(t)=x"(t) +x'(t) - x(t), y(0) = -2, y'(0) = 0, u(t) is the step function. 1. Write an expression for Y(s); at first leave U(s) symbolic. Identify which part is the zero-state and which part is the zero-input frequency-domain solution. Identify which part is the transfer function and which part is the initial condition polynomial. You will need to use the following transform pairs or properties, noting that they apply to the input as...
Find the solution of the initial value problem y" – 2y' + 5y = g(t), y(0)...
Find the solution of the initial value problem y" – 2y' + 5y = g(t), y(0) = 0, y'(0) = 0, where g(t) is a continuous, otherwise arbitrary, function. Oy(t) = g(t) 1 y(t) = (sets sin(2t))g(t) Oy(t) = (cos(2t)) * g(t) Oy(t) = (cos(2t))g(t) y(t) = (1 e*) + f(t) x(t) =() e sin(26)g(t) g(t) = ( e sin(2t) + (t) y(t) = Ce+ sin(2t)) *g(t) 1
buu.FIUuiem / Previous Problem Problem List Next Problem (1 point) Find y as a function of...
buu.FIUuiem / Previous Problem Problem List Next Problem (1 point) Find y as a function of tif 4y" + 20y +17y = 0, y(O) = 3, 0) = 5. y(t) = Note: This problem cannot interpret complex numbers. You may need to simplify your answer before submitting it Preview My Answers Submit Answers You have attempted this problem 0 times You have 7 attempts remaining. Email Instructor
(5 points) Find y as a function of tif 8y" + 31y = 0, y'(0) = 4. y(0) = 3, g(t) = Note: This particular webWork problem can't handle complex numbers, so write your answer in terms of sines and cosines, rather than using e to a complex power.
Find y as a function of t if
9y′′+35y=0,
y(0)=6,y′(0)=9.
y(t)=
27 35 6*cossqr 3: Set(35)])"sin([sqrt(35)]/3)*t 6 Cos V35 3 t + sin t incorre 35 3 The answer above is NOT correct. (1 point) Find y as a function of t if 9y" + 35y = 0, y(0) = 6, y'(0) = 9. y(t) = cos(sqrt(35y3)t + 27/sqrt(35)sin(sqrt(35y3) Note: This particular webWork problem can't handle complex numbers, so write your answer in terms of sines and cosines, rather than...
(1 point) Solve y" + 2y' + 2y = 4te* cos(t). 1) Solve the homogeneous part: y" + 2y' + 2y = 0 for Yh, using a real basis. Note the coded answer is ordered. If your basis is correct and your answer is not accepted, try again with the other ordering. Yn = C1 te^(-+)*cost +C2 te^(-t)*cost 2) Compute the particular solution y, via complexifying the differential equation: Note that the forcing et cos(t) = Re(el-1+i)t). You will solve...
(1 point) Solve y" + 2y + 2y = 4te-t cos(t). 1) Solve the homogeneous part: y' + 2y + 2y = 0 for Yh, using a real basis. Note the coded answer is ordered. If your basis is correct and your answer is not accepted, try again with the other ordering. Yn = C1 e^(-t)sin(t) +C2 e^(-t)cos(t) . 2) Compute the particular solution yp via complexifying the differential equation: Note that the forcing e * cos(t) = Re(el 1+i)t)....
(1 point) Find y as a function of t if 250y" + 4y' + 3y = 0, y'(0) = 3. y(0) = 6, y(t) = Note: This problem cannot interpret complex numbers. You may need to simplify your answer before submitting it.
please states whaere the answer is .
(1 point) Solve y" + 2y + 2y = 4te-cos(t). 1) Solve the homogeneous part: y" + 2y + 2y = 0 for yo, using a real basis. Note the coded answer is ordered. If your basis is correct and your answer is not accepted, try again with the other ordering. Yn = 0^-t)cos( + e^(-t)sin((3 - 2) Compute the particular solution y, via complexifying the differential equation: Note that the forcing e...
(1 point) Let g(t) = e2t. a. Solve the initial value problem y – 2y = g(t), y(0) = 0, using the technique of integrating factors. (Do not use Laplace transforms.) y(t) = b. Use Laplace transforms to determine the transfer function (t) given the initial value problem $' – 20 = 8(t), $(0) = 0. $(t) = c. Evaluate the convolution integral (0 * g)(t) = Só "(t – w) g(w) dw, and compare the resulting function with the...
2y"(t) + 3 y' (t) + y(t)=x"(t) +x'(t) - x(t), y(0) = -2, y'(0) = 0, u(t) is the step function. 1. Write an expression for Y(s); at first leave U(s) symbolic. Identify which part is the zero-state and which part is the zero-input frequency-domain solution. Identify which part is the transfer function and which part is the initial condition polynomial. You will need to use the following transform pairs or properties, noting that they apply to the input as...
Find the solution of the initial value problem y" – 2y' + 5y = g(t), y(0) = 0, y'(0) = 0, where g(t) is a continuous, otherwise arbitrary, function. Oy(t) = g(t) 1 y(t) = (sets sin(2t))g(t) Oy(t) = (cos(2t)) * g(t) Oy(t) = (cos(2t))g(t) y(t) = (1 e*) + f(t) x(t) =() e sin(26)g(t) g(t) = ( e sin(2t) + (t) y(t) = Ce+ sin(2t)) *g(t) 1
buu.FIUuiem / Previous Problem Problem List Next Problem (1 point) Find y as a function of tif 4y" + 20y +17y = 0, y(O) = 3, 0) = 5. y(t) = Note: This problem cannot interpret complex numbers. You may need to simplify your answer before submitting it Preview My Answers Submit Answers You have attempted this problem 0 times You have 7 attempts remaining. Email Instructor
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