Question

the value of 1+tan12/1-tan12

Answer 1

Answer:

Answer

Open in answr app

Open_in_app

Correct option is

A

3 only

Given Differential equation is xdy=ydx+y

2

dy,

⟹

dy

dx

=

y

x

−y,

⟹

dy

dx

−

y

x

=−y this is a linear differential equation in y,

The integrating factor is

y

1

,

Now the differential equation becomes,

y

1

dy

dx

−

y

2

x

=−1,

⟹

y

x

=∫−1dy

⟹

y

x

=−y+c

,

Given that y(1)=1,

c=2,

to find y(−3),

⟹y

2

−2y−3=0,

Solving the quadratic equation gives,

y=−1 and y=3,

Given that y>0,

∴y=3 only