Math, asked by snehapatle16, 6 months ago

total derivative of

xdy +ydx is​

Answers

Answered by pranitawaware
1

Step-by-step explanation:

well posting the answer in the pic,I have done it with proper methods of exact differentiation,if it's really confusing to you then just simply devide both the terms with xy and integrate it you will get the answer as xy=c

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Answered by durgeshbishi2
0

Answer: the terms with xy and integrate it you will get the answer as xy=c.

Step-by-step explanation:

As the total derivative of xdy + ydx = 0

As by dividing both sides in the given equation by xy,

We get \frac{dx}{dy} +\frac{dy}{y}=0\\

As by integrating it on both sides, we get

log x +log y =log c

⇒ log xy =log c

⇒xy = c

Hence, the derivative of xdy + ydx is xy=c.

#SPJ3

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