The differential equation of y=e^ x (a+bx+x^ 2 ) is

MHT CET 2024 Mathematics question

The differential equation of is

Answer: (C)

There are two arbitrary constants , so the equation is of order 2. Write . Differentiate: . Differentiate again: y)e^{-x}y)e^{-x}$=2⇒

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Question ID VK-099002