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Explore the Back-StoryTry 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**]

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