The differential equation $\left( {{e^x} + 1} \right)y{\rm{ }}dy = \left( {y + 1} \right){e^x}dx$, has the solution

JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

1 Easy

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Application +4 | -1

The differential equation

\left( {{e^x} + 1} \right)y\mathrm{ }dy = \left( {y + 1} \right){e^x}dx

, has the solution

View answer and explanation

Correct option: D

\left( {y + 1} \right)\left( {{e^x} + 1} \right) = c{e^y}

Option D (

\left( {y + 1} \right)\left( {{e^x} + 1} \right) = c{e^y}

) is correct because it is the solution obtained by separating variables and integrating the given differential equation.

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