Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x,y) whose differential, dF(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) = C are solutions to the differential equation: (-4x2 – 3y)dx + (-3x – 4y²)dy = 0 First: M,(x, y) = -3 and N(x, y) = -3 If the equation is not exact, enter not exact, otherwise enter in F(x, y) here

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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What is the exact equation 

Use the "mixed partials" check to see if the following differential equation is exact.
If it is exact find a function F(x,y) whose differential, d F(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) = C are solutions to the differential equation:
(-4x² – 3y)dx + (-3x – 4y²)dy = 0
First:
M,(x, y) = -3
and N,(x, y) = -3
If the equation is not exact, enter not exact, otherwise enter in F(x, y) here
Transcribed Image Text:Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x,y) whose differential, d F(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) = C are solutions to the differential equation: (-4x² – 3y)dx + (-3x – 4y²)dy = 0 First: M,(x, y) = -3 and N,(x, y) = -3 If the equation is not exact, enter not exact, otherwise enter in F(x, y) here
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