If $y=a x^{n+1}+b x^{-n}$, then $x^2 \frac{d^2 y}{d x^2}$ equals to

JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Application +4 | -1

y=a x^{n+1}+b x^{-n}

, then

x^2 \frac{d^2 y}{d x^2}

equals to

View answer and explanation

Correct option: B

n(n+1) y

Option B (

n(n+1) y

) is correct because after differentiating twice and multiplying by

x^2

, the result is

n(n+1)

times the original function

y

Practice All Chapter MCQs →

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\lim \limits_{{x \rightarrow \infty}} y(t)