If dy/dx = (2^(x+y) − 2^x)/(2y) with y(0)=1... | Differential Equations | JEE Main

JEE MAIN 2021

31-08-2021 S1

Question

If $\frac{d y}{d x}=\frac{2^{x+y}-2^x}{2 y}, \mathrm{y}(0)=1$, then $\mathrm{y}(1)$ is equal to :

Select the correct option:

A

$\log _2(2+e)$

B

$\log _2(1+e)$

C

$\log _2(2 e)$

D

$\log _2\left(1+e^2\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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