JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

1 Easy

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Application +4 | -1

\phi(x)

is a differentiable function, then the solution of the differential equation

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

, is

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 the correct solution after solving the linear differential equation using the integrating factor method.

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