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b- y" -y+2y+ cos x, 05x y(0) -0.3, y()--0.1

b- y" -y+2y+ cos x, 05x y(0) -0.3, y()--0.1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please solve exercise 2-b

1- Approximate the solutions of the following higher order differential equations, and compare the results to the actual solutions. a. y" – 2y' + y = te' – 1, 0<i<1, y(0) = y'(0) = 0, with h = 0.1; actual solution y(1) ={re - te +2e' -1– 2. b. fy" – 2ry + 2y =r In r, 1<1< 2, y(1) = 1, y'(1) = 0, with h = 0.1; actual solution y() = 7r+ int -. %3D %3D %3D 2- Show that The boundary-value problem, has a unique the solution a- y" = 4(y-x). 0sxs1, y(0) = 0, y(1) 2, b- y" =y +2y+cosx, 0sx, y(0) = -0.3, y()=-0.1 4/4
Transcribed Image Text:1- Approximate the solutions of the following higher order differential equations, and compare the results to the actual solutions. a. y" – 2y' + y = te' – 1, 0<i<1, y(0) = y'(0) = 0, with h = 0.1; actual solution y(1) ={re - te +2e' -1– 2. b. fy" – 2ry + 2y =r In r, 1<1< 2, y(1) = 1, y'(1) = 0, with h = 0.1; actual solution y() = 7r+ int -. %3D %3D %3D 2- Show that The boundary-value problem, has a unique the solution a- y" = 4(y-x). 0sxs1, y(0) = 0, y(1) 2, b- y" =y +2y+cosx, 0sx, y(0) = -0.3, y()=-0.1 4/4
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