7:10 I VY O| KOREKIMG-ecdf3f11ba473b...Q1) In Exercises 1-15, find the general solution.1- y" - 2y' - 3y = 02- 4y" + 4y' + y = 03- 4y" + 20y = 09- 6y" – y' – y = 010- 9y" + 12y' + 4y = 011- y" + 2y' + 2y = 012- 6y" + 13y' – 5y = 04- 25y" + 10y' + y = 05- 4y" + 4y' + 5y = 013- y" + 4y' + 6y = 014-6y" – 5y' – 6y = 06- 16y" – 24y' + 9y = 07- 9y" + 24y' + 16y = 08- 6y" – 5y' – 4y = 015- 4y" + 16y' + 52y = 0Q2) In Exercises 1-5, solve the initial value problem.1- y" - 2y' + 2y = 0, 3(0) = 0, y' (0) = 22- y" + 2y' + y = 0, y(0) = 1, y'(0) = 13- 4y" – 4y' + y = 0, y(0) = -1, y'(0) = 24- 3y" +y' - 14y = 0, y(0) = 2, y'(0) = -15- 4y" + 4y' + 5y = 0, y(7) = 1, y!(7) = 0O O D

Answered: Q1) In Exercises 1-15, find the general…

Q1) In Exercises 1-15, find the general solution. 1- y - 2y' - 3y = 0 4y" + 4y' + y = 0 9- 6y" – y - y = 0 10- 9y" + 12y + 4y = 0 2-

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 44E

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Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

7:10 I VY O
| KOREK
IMG-ecdf3f11ba473b...
Q1) In Exercises 1-15, find the general solution.
1- y" - 2y' - 3y = 0
2- 4y" + 4y' + y = 0
3- 4y" + 20y = 0
9- 6y" – y' – y = 0
10- 9y" + 12y' + 4y = 0
11- y" + 2y' + 2y = 0
12- 6y" + 13y' – 5y = 0
4- 25y" + 10y' + y = 0
5- 4y" + 4y' + 5y = 0
13- y" + 4y' + 6y = 0
14-6y" – 5y' – 6y = 0
6- 16y" – 24y' + 9y = 0
7- 9y" + 24y' + 16y = 0
8- 6y" – 5y' – 4y = 0
15- 4y" + 16y' + 52y = 0
Q2) In Exercises 1-5, solve the initial value problem.
1- y" - 2y' + 2y = 0, 3(0) = 0, y' (0) = 2
2- y" + 2y' + y = 0, y(0) = 1, y'(0) = 1
3- 4y" – 4y' + y = 0, y(0) = -1, y'(0) = 2
4- 3y" +y' - 14y = 0, y(0) = 2, y'(0) = -1
5- 4y" + 4y' + 5y = 0, y(7) = 1, y!(7) = 0
O O D

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