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Calculus / A First Course in Differential Equations with Modeling Applications 10 / Chapter 2.3 / Problem 11E

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

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Chapter 2, Problem 11E

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QUESTION:

In Problems 1–24 find the general solution of the given differential equation. Give the largest interval I over which the general solution is defined. Determine whether there are any transient terms in the general solution.

\(x \frac{d y}{d x}+4 y=x^{3}-x\)

Text Transcription:

x dy/dx + 4y = x^3 - x

Questions & Answers

QUESTION:

In Problems 1–24 find the general solution of the given differential equation. Give the largest interval I over which the general solution is defined. Determine whether there are any transient terms in the general solution.

\(x \frac{d y}{d x}+4 y=x^{3}-x\)

Text Transcription:

x dy/dx + 4y = x^3 - x

ANSWER:

Step 1 of 3

In this question we have to find the general solution of the equation , the largest interval I over

which the general solution is defined and also we have to determine whether there are any

transient terms in the general solution.

$x\frac{dy}{dx}+4y={x}^{3}-x$ .

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