Consider the following differential equation. (2x - 1) dx + (5y + 6) dy = 0 Let M = 2x - 1 and N = 5y + 6. Find the following partial derivatives. My = Is the given differential equation exact? Yes Let No af ax =2x-1. Integrate this partial derivative with respect to x, letting h(y) be an unknown function in y. 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 + (5y + 6) dy = 0 Let M = 2x - 1 and N = 5y + 6. Find the following partial derivatives. My = Is the given differential equation exact? Yes Let No af ax =2x-1. Integrate this partial derivative with respect to x, letting h(y) be an unknown function in y. 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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the following differential equation.
(2x - 1) dx + (5y + 6) dy = 0
Let M = 2x - 1 and N = 5y + 6. Find the following partial derivatives.
M.
Is the given differential equation exact?
Yes
Let
No
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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