If $\frac{d y}{d x}+y \tan x=\sin 2 x$ and $y(0)=1$, then $y(\pi)$ is equal to:

JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

1 Easy

1 of 1

Application +4 | -1

\frac{d y}{d x}+y \tan x=\sin 2 x

and

y(0)=1

, then

y(\pi)

is equal to:

View answer and explanation

Correct option: C

-5

Option C (-5) is correct because solving the differential equation and applying the initial condition yields y(π) = -5.

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