Math, asked by balmikianil800, 9 days ago

State the necessary and sufficient condition for the exactness of differential equation.

Answers

Answered by shivani010059

3

Answer:

Definition:The differential equation M(x,y) dx + N(x,y) dy = 0 is said to be an exact differential equation if there exits a function u of x and y such that M dx + N dy = du. Main Result. • Theorem: The necessary and sufficient condition for differential equation M.dx + N.dy = 0 to be an.

Answered by naeemraksha

0

Answer: M.dx + N.dy = 0

Step-by-step explanation:

What is differential Equation?

Differential Equation refers to a statement or we can say equation consisting of derivatives of various functions or even of a single function.

For example- For functions X and Y it can be written as-

Dy/dx=f(x, y)

So if there are functions of A in terms of X and Y The necessary and sufficient condition for the exactness of a differential equation will be M.dx + N.dy = Ad

It can also be written as M.dx+N.dy-Ad=0

Further if the equation as square degrees then rules of differential will be applied to have the condition of exactness pf differential equation.

To know more

https://brainly.in/question/1955715

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https://brainly.in/question/39155837

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