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2) The objective of this question is the transformation of a 2nd order linear diff a system of 2 ordinary differential equations. Consider the following linear differential equation a" +4r +-3 = 0. and let us set: u= rand v = '. 1) What is the system of differential equations (5) satisfied by (u, v) vice-versa)? 2) Solve (S) and deduce the general solution of (E). 3) Does the above results for (E) agree with the formulas of the gener linear homogeneous differential equation with constant coefficient

2) The objective of this question is the transformation of a 2nd order linear diff a system of 2 ordinary differential equations. Consider the following linear differential equation a" +4r +-3 = 0. and let us set: u= rand v = '. 1) What is the system of differential equations (5) satisfied by (u, v) vice-versa)? 2) Solve (S) and deduce the general solution of (E). 3) Does the above results for (E) agree with the formulas of the gener linear homogeneous differential equation with constant coefficient

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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2) The objective of this question is the transformation of a 2nd order linear differential equation into a system of 2 ordinary differential equations. Consider the following linear differential equation a" +- 4r +-3x = 0, and let us set: 1) What is the system of differential equations (5) satisfied by (u, v) when a satisfies (E) (and vice-versa)? 2) Solve (S) and deduce the general solution of (E). 3) Does the above results for (E) agree with the formulas of the general solutions of a 2nd order linear homogeneous differential equation with constant coefficients ?
Transcribed Image Text:2) The objective of this question is the transformation of a 2nd order linear differential equation into a system of 2 ordinary differential equations. Consider the following linear differential equation a" +- 4r +-3x = 0, and let us set: 1) What is the system of differential equations (5) satisfied by (u, v) when a satisfies (E) (and vice-versa)? 2) Solve (S) and deduce the general solution of (E). 3) Does the above results for (E) agree with the formulas of the general solutions of a 2nd order linear homogeneous differential equation with constant coefficients ?
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