JEE Main · MathematicsEasy

$\frac{d y}{d x} + y = e^{x}$

A. $e^{x}$
B. $x$
C. $e^{-} x$
D. $1$

Show correct answer & step-by-step solution

Correct answer: A — $e^{x}$

Solution

This is a linear differential equation of the form \frac{d y}{d x} + P y = Q, where P = 1 . The integrating factor is e^{\int P d x} = e^{x} .

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