MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Derivative of Some Standard Functions

If 2+sin x d ...

Question

If (2+sinx)dy/dx + (y+1)cosx = 0 and y(0) = 0 then y(π/2) is equal to

A) -1/3. B) 4/3. C)1/3. D)-2/3

Open in App

Solution

(2 + sin x)dy + cos x(y + 1)dx = 0 (y + 1)(2 + sin x) = C (1 + 1)(2 + 0) = C = 4 (y + 1)(2 + sin x) = 4 Put x =π/2 y = 1/3 The correct option is A.

Suggest Corrections

thumbs-up

0

Similar questions

(2 + s i n x) \frac{d y}{d x} + (y + 1) c o s x = 0

y (0) = 1

y (\frac{π}{2}

(2 + sin x) \frac{d y}{d x} + (y + 1) cos x = 0 and y (0) = 1,

y (\frac{π}{2})

y = y (x)

be the solution of the differential equation

sin x \frac{d y}{d x} + y cos x = 4 x, x ϵ (0, π)

y (\frac{π}{2}) = 0

y (\frac{π}{6})

\frac{d y}{d x} = y + 3 > 0

y (0) = 2

y (ln 2)

\frac{d y}{d x} = y + 3 > 0

y (0) = 2

y (ln 2)

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Derivative of Standard Functions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Derivative of Some Standard Functions

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon