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Defination of exact deferential equation ​

Answer»

<P>Answer:

A differential equation of type

P

(

x

,

y

)

d

x

+

Q

(

x

,

y

)

d

y

=

0

is called an exact differential equation if there exists a FUNCTION of two variables

u

(

x

,

y

)

with CONTINUOUS partial derivatives such that

d

u

(

x

,

y

)

=

P

(

x

,

y

)

d

x

+

Q

(

x

,

y

)

d

y

.

The general SOLUTION of an exact equation is given by

u

(

x

,

y

)

=

C

,

where

C

is an ARBITRARY constant


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