- Approximate the solutions of the following higher order differential equations, and compare the results to the actual solutions. y" – 2y +y = te' - 1, 0sisl, y(0) = y (0) = 0, with h = 0.1; actual solution y(1) = re - te +2e -1-2. fy – 2ty +2y = In t, 1<12, y(1) = 1, y(1) = 0, with h = 0.1; actual solution y(r) = 7+n –. %3D | %3D
- Approximate the solutions of the following higher order differential equations, and compare the results to the actual solutions. y" – 2y +y = te' - 1, 0sisl, y(0) = y (0) = 0, with h = 0.1; actual solution y(1) = re - te +2e -1-2. fy – 2ty +2y = In t, 1<12, y(1) = 1, y(1) = 0, with h = 0.1; actual solution y(r) = 7+n –. %3D | %3D
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 4CR
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Question
please solve exercise 1-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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e35a088-ac88-4bc6-8102-24be224e730b%2F844bf652-1e99-4d2e-87cf-5108f75d3406%2Ftn6yc3_processed.jpeg&w=3840&q=75)
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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