UPSEE Solved Model Paper 4

dy

dx

=

g

n

+tan(

y

x

)
It is homogeneous differential equation
Let y = √x
⇒

dy

dx

= √+

xdv

dx

and put in differential equation

⇒ √+xd

v

dx

= √+tanv
⇒

xdv

dx

= tan v
⇒ ∫

dv

tanv

= ∫

dx

x

⇒ ∫ sec v = log x + c
⇒ log |sec v = tan v| log xc
⇒ log |sec

y

x

+tan

y

x

| = log xc
|sec

y

x

+tan

y

x

| = xc