The solution of dy/dx=cos(x+y)+sin(x+y)...

The solution of `dy/dx=cos(x+y)+sin(x+y)`, is given by

A

`log|1+tan((x+y)/(2))|=x+c`

B

`log|1+tan((x+y)|=x+c`

C

`log|1-tan((x+y)|=x+c`

D

None of these

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

The solution of (dy)/(dx)=(x+y-1)+(x+y)/(log(x+y)), is given by

The solution of x^(2)dy-y^(2)dx+xy^(2)(x-y)dy=0, is

The solution of y^2=2y(dy)/(dx)-((dy)/(dx))^(2), is

The solution of xsin((y)/(x))dy={ysin((y)/(x))-x}dx, is given by

The solution of (dy)/(dx)+(y)/(x)=(1)/((1+log x+log y)^(2)) is given by

Solve sin y. (dy)/(dx)=cos y(1-xcosy).

Find a particular solution of the differential equation (x + 1)(dy)/(dx) = 2e^(-y) - 1 , given that y = 0 when x = 0.

The solution of (dy)/(dx)+(y)/(x)logy=(y)/(x^(2))(logy)^(2), is

Find (dy)/(dx) if y+ sin y= cos x

Find a particular solution of the differential equation (x - y)(dx + dy) = dx - dy given that y = -1, when x = 0.(Hint : put x - y = t)