14. pleaae show all work and specify which letter answer
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14. pleaae show all work and specify which letter
answer
14 Giren two linearly independent solutions...
10. pleaae show all work and specify which letter answer cs Vi=est Y2= xet 10 Two...
10. pleaae show all work and specify which letter
answer
cs Vi=est Y2= xet 10 Two linearly independent solution of the differential equation Byl + Syl-zy o are a) y = e 6x b) yi-e6x Y2=ex d) vize ed y,=(2x 192 Y = e2x Ya=est
11. please show all work and specify which letter answer If one solution of the differential...
11. please show all work and specify which letter
answer
If one solution of the differential Y"+2ylty=0 is yi=e* Use method of reduction order (lety-oy), a second linearly independent solution is a) y = et c) y=xe* e) y e* 6) y=xe d) y=c
12. specify which letter answer is correct dj yp=é 2 Otwo linearly independene solotions of the...
12. specify which letter answer is correct
dj yp=é 2 Otwo linearly independene solotions of the I differential equation ý "+12ylt 36y=o are 064 Y₂ = Xe6x b) y,=0 Y = xe Y = 6x d Yizes Y = 0 6x Y = xe 6x Vi=e6x Y2= e 6x
A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular...
A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. yl) + 2y'' – y' - 2y = 0; y(0) = 2, y'(0) = 12, y''(0) = 0; Y1 = ex, y2 = e -X, y3 = e - 2x The particular solution is y(x) = .
3 multiple choice questions Two solutions to a second order differential equation are linearly independent if...
3 multiple choice questions
Two solutions to a second order differential equation are linearly independent if (a) their Wronskian determinant is zero. (b) their Wronskian determinant is nonzero. (c) they are not scalar multiples of one another. (d) they each have a corresponding initial condition. (e) Both (b) and (c) are correct. Given the differential equation y"+9y' = e-91, the correct guess for a particular solution would be (a) yp = Ae-94 (b) yp = (Ax + B)e-9r. (c) yp...
Given two linearly independent solutions yı=e, y = 4x of y" - 3y' + 4y =...
Given two linearly independent solutions yı=e, y = 4x of y" - 3y' + 4y = 0, use the method of variation of parameters to find a particu "-3y' - 4y = 24 Select the correct answer.---Submit your work when you complete the test. b. Y* 7 c. 3p = x et d. &p=g e. Yp 5
Two linearly independent solutions of the differential equation y''+4y'+4y=0 are of Two linearly independent solutions the...
Two linearly independent solutions of the differential
equation y''+4y'+4y=0 are
of Two linearly independent solutions the differential equation are 2x y,=e Y2 = e 2x / - 2x 6 Y,=e 92= xe 2x @g, = e - 2x -2x , 92= xe 2x y = e 2x Y 2 = xe²x e 9,=02x 1 Y 2 = e- 2x
9. specify which letter answer a two lirearly independent solutions of the differential equation y"-1441-494-0 ore...
9. specify which letter answer
a two lirearly independent solutions of the differential equation y"-1441-494-0 ore af y, =ė? .Yz-Xerx UX b) y, = e 1 Y2 = xex YZ = Xe²7 6 yi=ex d) es vize" Yo = ex Y2 = ex 77 1 Y = e-7x
A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular...
A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. y (3) + 2y" - y' - 2y = 0; y(0) = 7, y' (0) = 16, y''O) = 0; e y2 = e-X, y3 = e - 2x Y The particular solution is y(x) = .
Please show how to solve. Correct answer shown. Use variation of parameters to find a general...
Please show how to solve. Correct answer shown.
Use variation of parameters to find a general solution to the differential equation given that the functions y, and y2 are linearly independent solutions to the corresponding homogeneous equation for t>0. - 2t + ty +(2t - 1)x - 2y =ềe -2t, Y1 = 2t - 1, y2 = e - A general solution is y(t) = X X That's incorrect. 1 Correct answer: C1(2t - 1) + c2 e - 2t...
10. pleaae show all work and specify which letter
answer
cs Vi=est Y2= xet 10 Two linearly independent solution of the differential equation Byl + Syl-zy o are a) y = e 6x b) yi-e6x Y2=ex d) vize ed y,=(2x 192 Y = e2x Ya=est
11. please show all work and specify which letter
answer
If one solution of the differential Y"+2ylty=0 is yi=e* Use method of reduction order (lety-oy), a second linearly independent solution is a) y = et c) y=xe* e) y e* 6) y=xe d) y=c
12. specify which letter answer is correct
dj yp=é 2 Otwo linearly independene solotions of the I differential equation ý "+12ylt 36y=o are 064 Y₂ = Xe6x b) y,=0 Y = xe Y = 6x d Yizes Y = 0 6x Y = xe 6x Vi=e6x Y2= e 6x
A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. yl) + 2y'' – y' - 2y = 0; y(0) = 2, y'(0) = 12, y''(0) = 0; Y1 = ex, y2 = e -X, y3 = e - 2x The particular solution is y(x) = .
3 multiple choice questions
Two solutions to a second order differential equation are linearly independent if (a) their Wronskian determinant is zero. (b) their Wronskian determinant is nonzero. (c) they are not scalar multiples of one another. (d) they each have a corresponding initial condition. (e) Both (b) and (c) are correct. Given the differential equation y"+9y' = e-91, the correct guess for a particular solution would be (a) yp = Ae-94 (b) yp = (Ax + B)e-9r. (c) yp...
Given two linearly independent solutions yı=e, y = 4x of y" - 3y' + 4y = 0, use the method of variation of parameters to find a particu "-3y' - 4y = 24 Select the correct answer.---Submit your work when you complete the test. b. Y* 7 c. 3p = x et d. &p=g e. Yp 5
Two linearly independent solutions of the differential
equation y''+4y'+4y=0 are
of Two linearly independent solutions the differential equation are 2x y,=e Y2 = e 2x / - 2x 6 Y,=e 92= xe 2x @g, = e - 2x -2x , 92= xe 2x y = e 2x Y 2 = xe²x e 9,=02x 1 Y 2 = e- 2x
9. specify which letter answer
a two lirearly independent solutions of the differential equation y"-1441-494-0 ore af y, =ė? .Yz-Xerx UX b) y, = e 1 Y2 = xex YZ = Xe²7 6 yi=ex d) es vize" Yo = ex Y2 = ex 77 1 Y = e-7x
A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. y (3) + 2y" - y' - 2y = 0; y(0) = 7, y' (0) = 16, y''O) = 0; e y2 = e-X, y3 = e - 2x Y The particular solution is y(x) = .
Please show how to solve. Correct answer shown.
Use variation of parameters to find a general solution to the differential equation given that the functions y, and y2 are linearly independent solutions to the corresponding homogeneous equation for t>0. - 2t + ty +(2t - 1)x - 2y =ềe -2t, Y1 = 2t - 1, y2 = e - A general solution is y(t) = X X That's incorrect. 1 Correct answer: C1(2t - 1) + c2 e - 2t...
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