Math, asked by nighotanushri9910, 2 months ago

4. The differential equation ydx + xdy + 2z
dz = 0 is *
O Not Integrable
O
Integrable
O Both A and B
O None of these
!
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Answers

Answered by Anonymous
4

Answer:

O Both A and B

Step-by-step explanation:

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Answered by steffis
1

The differential equation ydx + xdy + 2zdz = 0 is integrable.

Explanation:

Given - Differential equation = ydx + xdy + 2zdz = 0

We can write it as,

 = d(xy) + 2zdz = 0

Now, we will integrate this differential equation,

= \int\limits { d(xy) + 2zdz } \, =0

= \int\limits { d(xy) } +\int\limits { 2zdz } \, =0

=xy+2z^2=0

Hence, the given differential equation is integrable. So, option (b) is correct.

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