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Mathemades Exercises Find the solution of the following Differential Equations 1) 4y+x'y=0, K0) = 2, y(0) = 0.

Mathemades Exercises Find the solution of the following Differential Equations 1) 4y+x'y=0, K0) = 2, y(0) = 0.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Mathemades Exercises Find the solution of the following Differential Equations 1) 4y+xy=0, K0) = 2, y(0) = 0. 2) y+o? y=0, (0) = A, y(0) = E. 3) y+2y-8y= 0, K0) = 1, y(0) = 8. (0) = 1, y'(0) = 7. 4) -2y-3y=0, 5) y- ky = 0, ) y+ ky - 2k y= 0, 7) y+4y=0, y(0) = k. y(0) = 2k. (0) = 2, K0) = 2, M0) = 2.8 8) y+y=17sin(20), K0) = -1. 9) y-y-6y=0, M0) = 6, y(0) = 13. 10) y-y=0, y(0) = 0. (0) = 4, 11) y-4y'+4y=0, 3(0) = 2.1, y'(0) = 3.9 12) y+2y+2y=0, K0) =1, y(0) = -3. 13) y+7y+12 y= 21e", (0) = 3.5, y(0) = -10. 14) y+9y=10e, y(0) = 0, y'(0) = 0. 15) y+3y+2.25 y=9f' +64, 16) '-6y'+5y= 29 cos(21), K0) =1, (0) = 3.2, y(0) = 31.5 '(0) - 6.2 17) y+2y+2y= 0, K0) = 0, y(0) =1. 18) '+2y'+173 = 0, (0) = 0. '(0) - 12. 151 Mathematics y(0) = 2. y(0) =1. 19) y-4y+5y= 0, K0) = 1, 20) 9y-6y + y=0, K0) = 3, 21) y-2y+10 3D0, 22) 4y-4y +37 y=D0, (0) = 3, y(0) = 3. y(0) =1.5 y(0) =1. K0) = 3, (0) = 0, K0) = 1, (0) = 2, (0) = 3, (0) = 0, (0) = 0, (0) =1, 23) 4y-8y+5y=0, 24) y+y+1.25 y=0, 25) y+y=2 cos(1), y(0) =-0.5 y(0) = 0. 26) y-4y+3y-D0, y(0) = 7. 27) y+2y+ y= e", 28) y+2y-3 y=10sinh(21), 29) y+25 y= 10(cos(5t)-2 sin(51), 30) =-, = x, 31) +* = 2 cos(). +=0, 32) + = 2sinh(). k+ =d, *+ =2d +e 33) -2%++ =0, + = 41+2, +x =? +2 34) -x+3 %.X=4x-4d, y(0) =2,{(0) = 3, ¼(0) = 1, y½ (0) = 2. 35) +, =-Scos(21), +X=5cos(21), (0)= (0) = 1, (0)=-1, y(0) = 0. y(0) = 4. '(0) = 2. x(0) = 1, 4(0) = 0. x(0) = 0, K(0) = ,(0) =1, (0) =0. (0) = 1. x (0) = y, (0) = y, (0) = 0 (0) =1. $2
Transcribed Image Text:Mathemades Exercises Find the solution of the following Differential Equations 1) 4y+xy=0, K0) = 2, y(0) = 0. 2) y+o? y=0, (0) = A, y(0) = E. 3) y+2y-8y= 0, K0) = 1, y(0) = 8. (0) = 1, y'(0) = 7. 4) -2y-3y=0, 5) y- ky = 0, ) y+ ky - 2k y= 0, 7) y+4y=0, y(0) = k. y(0) = 2k. (0) = 2, K0) = 2, M0) = 2.8 8) y+y=17sin(20), K0) = -1. 9) y-y-6y=0, M0) = 6, y(0) = 13. 10) y-y=0, y(0) = 0. (0) = 4, 11) y-4y'+4y=0, 3(0) = 2.1, y'(0) = 3.9 12) y+2y+2y=0, K0) =1, y(0) = -3. 13) y+7y+12 y= 21e", (0) = 3.5, y(0) = -10. 14) y+9y=10e, y(0) = 0, y'(0) = 0. 15) y+3y+2.25 y=9f' +64, 16) '-6y'+5y= 29 cos(21), K0) =1, (0) = 3.2, y(0) = 31.5 '(0) - 6.2 17) y+2y+2y= 0, K0) = 0, y(0) =1. 18) '+2y'+173 = 0, (0) = 0. '(0) - 12. 151 Mathematics y(0) = 2. y(0) =1. 19) y-4y+5y= 0, K0) = 1, 20) 9y-6y + y=0, K0) = 3, 21) y-2y+10 3D0, 22) 4y-4y +37 y=D0, (0) = 3, y(0) = 3. y(0) =1.5 y(0) =1. K0) = 3, (0) = 0, K0) = 1, (0) = 2, (0) = 3, (0) = 0, (0) = 0, (0) =1, 23) 4y-8y+5y=0, 24) y+y+1.25 y=0, 25) y+y=2 cos(1), y(0) =-0.5 y(0) = 0. 26) y-4y+3y-D0, y(0) = 7. 27) y+2y+ y= e", 28) y+2y-3 y=10sinh(21), 29) y+25 y= 10(cos(5t)-2 sin(51), 30) =-, = x, 31) +* = 2 cos(). +=0, 32) + = 2sinh(). k+ =d, *+ =2d +e 33) -2%++ =0, + = 41+2, +x =? +2 34) -x+3 %.X=4x-4d, y(0) =2,{(0) = 3, ¼(0) = 1, y½ (0) = 2. 35) +, =-Scos(21), +X=5cos(21), (0)= (0) = 1, (0)=-1, y(0) = 0. y(0) = 4. '(0) = 2. x(0) = 1, 4(0) = 0. x(0) = 0, K(0) = ,(0) =1, (0) =0. (0) = 1. x (0) = y, (0) = y, (0) = 0 (0) =1. $2
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