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Consider the following differential equation. (2x - 1) dx + (7y + 4) dy = 0 Let M = 2x - 1 and N = 7y + 4. Find the following partial derivatives. My = 0 = Is the given differential equation exact? Yes O No Let af = 2x - 1. Integrate this partial derivative with respect to x, letting h(y) be an unknown function in y. ax f(x, y) = + h(y) Find the derivative of h(y). h'(y) = Find the general solution of the given differential equation. (If it is not exact, enter NOT.)

Consider the following differential equation. (2x - 1) dx + (7y + 4) dy = 0 Let M = 2x - 1 and N = 7y + 4. Find the following partial derivatives. My = 0 = Is the given differential equation exact? Yes O No Let af = 2x - 1. Integrate this partial derivative with respect to x, letting h(y) be an unknown function in y. ax f(x, y) = + h(y) Find the derivative of h(y). h'(y) = Find the general solution of the given differential equation. (If it is not exact, enter NOT.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Question
Consider the following differential equation. (2x - 1) dx + (7y + 4) dy = 0 Let M = 2x - 1 and N = 7y + 4. Find the following partial derivatives. My = 0 = Is the given differential equation exact? Yes O No Let af = 2x - 1. Integrate this partial derivative with respect to x, letting h(y) be an unknown function in y. ax f(x, y) = + h(y) Find the derivative of h(y). h'(y) = Find the general solution of the given differential equation. (If it is not exact, enter NOT.)
Transcribed Image Text:Consider the following differential equation. (2x - 1) dx + (7y + 4) dy = 0 Let M = 2x - 1 and N = 7y + 4. Find the following partial derivatives. My = 0 = Is the given differential equation exact? Yes O No Let af = 2x - 1. Integrate this partial derivative with respect to x, letting h(y) be an unknown function in y. ax f(x, y) = + h(y) Find the derivative of h(y). h'(y) = Find the general solution of the given differential equation. (If it is not exact, enter NOT.)
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