Let y=y(x) be the solution of the... | Differential Equations

JEE MAIN 2025

03-04-25 S2

Question

Let $y=y(x)$ be the solution of the differential equation $\frac{d y}{d x}+3\left(\tan ^2 x\right) y+3 y=\sec ^2 x, y(0)=\frac{1}{3}+e^3$. Then $y\left(\frac{\pi}{4}\right)$ is equal to

Select the correct option:

$\frac{2}{3}$

$\frac{4}{3}+e^3$

$\frac{4}{3}$

$\frac{2}{3}+e^3$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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