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Q.The solution of $\dfrac{dy}{dx} = e^{x-y} + x^2 e^{-y}$ is

a

e^y = e^x + \dfrac{x^3}{3} + C

b

e^y = e^x + x^3 + C

c

e^{-y} = e^{-x} + \dfrac{x^3}{3} + C

d

y = e^x + \dfrac{x^3}{3} + C

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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