Given an ODE in the following form: M(x, y) da + N(x, y) dy = 0 we can use the definition of exact ODEs to determine whether the ODE is exact or not. But the definition is not easy to use. Therefore, in Section 1.8, in addition to the definition, an easier and faster method was covered to determine whether an ODE in the above form is exact or not. From below options, select the correct description of the easier/faster method: In addition to the definition, an easier/faster method to determine whether an ODE in form M(a, y) da + N(x, y) dy = 0 is exact or not includes computing the following 2 partial derivatives: 8M(z, y) dy and ON(z, y) ?х If the two partial derivatives are equal to each other, the ODE is exact. If they are not equal to each other. the ODE is not exact. None of the provided choices is correct. In addition to the definition, an easier/faster method to determine whether an ODE in the following form: M(x, y) da + N(x,y) dy = 0 is exact or not includes computing the following two partial derivatives: ON(x, y) M(x, y) dr ду and

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given an ODE in the following form:
M(x, y) dx + N(x, y) dy = 0
we can use the definition of exact ODEs to determine whether the ODE is exact or not. But the
definition is not easy to use.
Therefore, in Section 1.8, in addition to the definition, an easier and faster method was covered to
determine whether an ODE in the above form is exact or not.
From below options, select the correct description of the easier/faster method:
In addition to the definition, an easier/faster method to determine whether an ODE in form
M(x, y) da + N(x, y) dy = 0
is exact or not includes computing the following 2 partial derivatives:
8 M(x, y)
მყ
and
ON(x, y)
მე
If the two partial derivatives are equal to each other, the ODE is exact. If they are not equal to each other,
the ODE is not exact.
None of the provided choices is correct.
In addition to the definition, an easier/faster method to determine whether an ODE in the following form:
M(x, y) da + N(x, y) dy = 0
is exact or not includes computing the following two partial derivatives:
ƏM (x, y)
ON(x, y)
Əy
81
and
Transcribed Image Text:Given an ODE in the following form: M(x, y) dx + N(x, y) dy = 0 we can use the definition of exact ODEs to determine whether the ODE is exact or not. But the definition is not easy to use. Therefore, in Section 1.8, in addition to the definition, an easier and faster method was covered to determine whether an ODE in the above form is exact or not. From below options, select the correct description of the easier/faster method: In addition to the definition, an easier/faster method to determine whether an ODE in form M(x, y) da + N(x, y) dy = 0 is exact or not includes computing the following 2 partial derivatives: 8 M(x, y) მყ and ON(x, y) მე If the two partial derivatives are equal to each other, the ODE is exact. If they are not equal to each other, the ODE is not exact. None of the provided choices is correct. In addition to the definition, an easier/faster method to determine whether an ODE in the following form: M(x, y) da + N(x, y) dy = 0 is exact or not includes computing the following two partial derivatives: ƏM (x, y) ON(x, y) Əy 81 and
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