It define as any multiplier which changes a differential equation into an exact equation. A. Linear factor B.Exact factor C. Pina factor D.None of the above

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 34E
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It define as any multiplier which changes a differential
equation into an exact equation.
A. Linear factor
B.Exact factor
C. Pina factor
D.None of the above
Transcribed Image Text:It define as any multiplier which changes a differential equation into an exact equation. A. Linear factor B.Exact factor C. Pina factor D.None of the above
In Exact Equation, to determine F(x, y) we use the
relationships
a. = M(x. y) b. = N(x.y)
The procedure is as follow:
1. Integrate the resulting ordinary differential equation.
This step enables us to solve for T(y).
2. Differentiate the equation obtained in (a) partially with
respect to y bearing in mind that
dT
ay
dy
3. Substitute T() obtained.
4. Integrate (a) holding y constant. Express the constant
of integration as a function of y, say T(y)
5. Equate the equation obtained to N(x, y)
What is the correct arrangement of the given procedure
above?
A. 2,4,3,1,5
B.5, 4,1,2,3
C.4,2,5,1,3
D.None of the above
Transcribed Image Text:In Exact Equation, to determine F(x, y) we use the relationships a. = M(x. y) b. = N(x.y) The procedure is as follow: 1. Integrate the resulting ordinary differential equation. This step enables us to solve for T(y). 2. Differentiate the equation obtained in (a) partially with respect to y bearing in mind that dT ay dy 3. Substitute T() obtained. 4. Integrate (a) holding y constant. Express the constant of integration as a function of y, say T(y) 5. Equate the equation obtained to N(x, y) What is the correct arrangement of the given procedure above? A. 2,4,3,1,5 B.5, 4,1,2,3 C.4,2,5,1,3 D.None of the above
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