Let xᵏ + yᵏ = aᵏ and dy/dx + (y/x)¹ᐟ³ = 0... | Differential Equations | JEE Main

JEE MAIN 2020

07-01-20 S1

Question

Let $x^k+y^k=a^k,(a, k>0)$ and $\frac{d y}{d x}+\left(\frac{y}{x}\right)^{\frac{1}{3}}=0$, then k is :

Select the correct option:

A

$\frac{3}{2}$

B

$\frac{1}{3}$

C

$\frac{4}{3}$

D

$\frac{2}{3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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