Defination of exact deferential equation
Answers
Answered by
0
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
Answered by
5
Answer:
In mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used in physics and engineering.
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