Question

Prove that y=tanx Solution of

y``= 2y(1+y^2) ​

Answer 1

Step-by-step explanation:

y=tanx

∴

dx

dy

=y

1

=sec

2

x

dx

d

(y

1

)=y

2

=2secx

dx

d

(secx)

y

2

=2sec

2

xtanx

y

2

=2yy

1