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.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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