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1. (a) Find the general solution of the first-order constant coefficient linear differential equation dx dt = 2x - 1. (b) Find the solution of the differential equation from (a) which satisfies the initial condition x(0) = = 2. (c) Describe the long-term behaviour of x in your solution from (b).

1. (a) Find the general solution of the first-order constant coefficient linear differential equation dx dt = 2x - 1. (b) Find the solution of the differential equation from (a) which satisfies the initial condition x(0) = = 2. (c) Describe the long-term behaviour of x in your solution from (b).

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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1. (a) Find the general solution of the first-order constant coefficient linear differential equation dx dt = : 2x - 1. (b) Find the solution of the differential equation from (a) which satisfies the initial condition x(0) = 2. (c) Describe the long-term behaviour of x in your solution from (b).
Transcribed Image Text:1. (a) Find the general solution of the first-order constant coefficient linear differential equation dx dt = : 2x - 1. (b) Find the solution of the differential equation from (a) which satisfies the initial condition x(0) = 2. (c) Describe the long-term behaviour of x in your solution from (b).
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We have to find the general solution of the first-order constant coefficient linear differential equation dxdt=2x-1.Then we have to find the solution of the above differential equation which satisfies the initial condition x(0)=2 and the we have to describe the long-term behavior of x.

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