JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

1 Easy

1 of 1

Application +4 | -1

x(t)

is a solution of

(t+1) d x=\left(2 x+(t+1)^4\right)

d t, x(0)=2

then

\lim \limits_{{t \rightarrow 1}} x(t)

View answer and explanation

Correct option: C

Option C (14) is correct because it is the limit of the solution to the differential equation as t approaches 1, given the initial condition.

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y=y(t)

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

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