Try this problem from IIT JAM 2014 exam. It requires knowledge of the exact differential equation and partial derivative.
For , If the differential equation
is exact then
Differential Equation
Exact D/E
Partial Differentiation
Answer:
IIT JAM 2014 , Problem 4
Ordinary Differential Equations by Tenebaum and Pollard
Any first order and linear differential equation can be expressed as
where
and
are functions of
and
.
is called exact if and only if
Comparing the given equation with we get,
Now can you calculate ?
[differentiating
with respect to
taking
as constant.]
[differentiating
with respect to
taking
as constant.]
Since the equation is exact ,then
i.e.,
Comparing the coefficients we get [ANS]
Try this problem from IIT JAM 2014 exam. It requires knowledge of the exact differential equation and partial derivative.
For , If the differential equation
is exact then
Differential Equation
Exact D/E
Partial Differentiation
Answer:
IIT JAM 2014 , Problem 4
Ordinary Differential Equations by Tenebaum and Pollard
Any first order and linear differential equation can be expressed as
where
and
are functions of
and
.
is called exact if and only if
Comparing the given equation with we get,
Now can you calculate ?
[differentiating
with respect to
taking
as constant.]
[differentiating
with respect to
taking
as constant.]
Since the equation is exact ,then
i.e.,
Comparing the coefficients we get [ANS]