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x' = 3x,

x' = 3x,

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. Which of the functions x₁ = e³t+2, x2 = e³t+2, or x3 = www is the solution of the initial value problem x' = 3x, x(0) = 2? 2e³t
Transcribed Image Text:2. Which of the functions x₁ = e³t+2, x2 = e³t+2, or x3 = www is the solution of the initial value problem x' = 3x, x(0) = 2? 2e³t
Expert Solution
Step 1

Given Differential equation

x'=3x and x(0)=2

Here we need to obtain the Solution for initial value problem.

In this Problem given three solutions

As,

x1=e3t+2x2=e3t+2x3=2e3t

Out of three solution one of the required solution.

So, We need to pick the right option among them.

steps

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