If it is exact find a function F(x, y) whose differential, dF(x, y) gives the differential equation. That is, level curves F(x, y) = C are solutions to the differential equation: dy dx -2x³-3y 7x + 3y4 First rewrite as where M(x, y) = and N(x, y) = M(x, y) dx + N(x, y) dy = 0 If the equation is not exact, enter not exact, otherwise enter in F(x, y) as the solution of the differential equation here = C.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
If it is exact, find a function \( F(x, y) \) whose differential, \( dF(x, y) \), gives the differential equation. That is, level curves \( F(x, y) = C \) are solutions to the differential equation:

\[
\frac{dy}{dx} = \frac{-2x^3 - 3y}{7x + 3y^4}
\]

First rewrite as

\[
M(x, y) \, dx + N(x, y) \, dy = 0
\]

where \( M(x, y) = \underline{\hspace{2cm}} \),

and \( N(x, y) = \underline{\hspace{2cm}} \).

If the equation is not exact, enter "not exact", otherwise enter in \( F(x, y) \) as the solution of the differential equation here

\[
\underline{\hspace{8cm}} = C.
\]
Transcribed Image Text:If it is exact, find a function \( F(x, y) \) whose differential, \( dF(x, y) \), gives the differential equation. That is, level curves \( F(x, y) = C \) are solutions to the differential equation: \[ \frac{dy}{dx} = \frac{-2x^3 - 3y}{7x + 3y^4} \] First rewrite as \[ M(x, y) \, dx + N(x, y) \, dy = 0 \] where \( M(x, y) = \underline{\hspace{2cm}} \), and \( N(x, y) = \underline{\hspace{2cm}} \). If the equation is not exact, enter "not exact", otherwise enter in \( F(x, y) \) as the solution of the differential equation here \[ \underline{\hspace{8cm}} = C. \]
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning