Answered: Part (c) Consider the initial value… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 17EQ

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Question

SOLVE PART C ONLY.

Part (c) Consider the initial value problem
dy
(t – 2)(t + 3)
+ (t – 5)y = t + 1, y(-1) = 7.
dt
-
Determine the maximal interval in which the solution exists.

Expert Solution

Step 1

The given initial value problem is:

$(t - 2) (t + 3) \frac{dy}{dt} + (t - 5) y = t^{4} + 1; y (- 1) = 7$

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