JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Application +4 | -1

\phi(x)

is a differentiable function then the solution of

\mathrm{d} y+\left(y \phi^{\prime}(x)-\phi(x) \phi^{\prime}(x)\right) \mathrm{d} x=0

View answer and explanation

Correct option: A

y=(\phi(x)-1)+C e^{-\phi(x)}

Option A (

y=(\phi(x)-1)+C e^{-\phi(x)}

) is correct because it is the solution obtained by solving the given first-order linear differential equation using an integrating factor.

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