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# Differential Equation| IIT JAM 2014 | Problem 4 Try this problem from IIT JAM 2014 exam. It requires knowledge of the exact differential equation and partial derivative.

## Differential Equation | IIT JAM 2014 | Problem 4

For , If the differential equation is exact then

• • • • ### Key Concepts

Differential Equation

Exact D/E

Partial Differentiation

Answer: IIT JAM 2014 , Problem 4

Ordinary Differential Equations by Tenebaum and Pollard

## Try with Hints

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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Try this problem from IIT JAM 2014 exam. It requires knowledge of the exact differential equation and partial derivative.

## Differential Equation | IIT JAM 2014 | Problem 4

For , If the differential equation is exact then

• • • • ### Key Concepts

Differential Equation

Exact D/E

Partial Differentiation

Answer: IIT JAM 2014 , Problem 4

Ordinary Differential Equations by Tenebaum and Pollard

## Try with Hints

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]

## Subscribe to Cheenta at Youtube

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