Question

`(dy)/(dx)` of `2x + 3y = sin x` is:-

Options

• `1/3 (cos x - 2)`

• `(cos x - 2)`

• `1/3 sin x`

• None of these

Answer 1

`1/3 (cos x - 2)`

Explanation:

`2x + 3y = sin x`

Differentiating w.r.t. x

`2 + (dy)/(dx)`

∴ `(dy)/(dx) = 1/3 (cos x - 2)`