JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Application +4 | -1

y=a e^{-1 / x}+b

is a solution of

\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{y}{x^2}

when

View answer and explanation

Correct option: A

a=1, b=0

Option A (

a=1, b=0

) is correct because it satisfies the given differential equation when substituted into the solution and its derivative.

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