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Calculus / Fundamentals of Differential Equations 8 / Chapter 2.2 / Problem 14E

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

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In 7–16, solve the equation.

Chapter 2, Problem 14E

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QUESTION:

\(\frac{d y}{d x}=3 x^{2}\left(1+y^{2}\right)^{3 / 2}\)

Equation Transcription:

$\frac{dy}{dx}=3{x}^{2}(1+{y}^{2}{)}^{3/2}$

Text Transcription:

dy over dx=3x^2(1+y^2)^3/2

Questions & Answers

QUESTION:

\(\frac{d y}{d x}=3 x^{2}\left(1+y^{2}\right)^{3 / 2}\)

Equation Transcription:

$\frac{dy}{dx}=3{x}^{2}(1+{y}^{2}{)}^{3/2}$

Text Transcription:

dy over dx=3x^2(1+y^2)^3/2

ANSWER:

Solution

Step 1:

We have to solve the given equation

$\frac{dy}{dx}=3{x}^{3}(1+{y}^{2}{)}^{3/2}$

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