JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

1 Easy

1 of 1

Application +4 | -1

\phi \left( x \right) = \phi '\left( x \right)

and

\phi \left( 1 \right) = 2

, then

\phi \left( 3 \right)

equals

View answer and explanation

Correct option: B

2{e^2}

Option B (

2{e^2}

) is correct because it is the value of

\phi(3)

obtained by solving the differential equation and applying the given condition.

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y=y(t)

\frac{d y}{d t}+\alpha y=\gamma e^{-\beta t}

\alpha>0, \beta>0

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