Question

if y=(log x²) , prove that x² d²y/dx²+x dy/dx=2​

Answer 1

Step-by-step explanation:

y=sin(logx)

dx

dy

=

x

cos(logx)

dx

2

d

2

y

=

x

2

−sin(logx)−cos(logx)

∴x

2

dx

2

d

2

y

+x

dx

dy

+y

=−sin(logx)−cos(logx)+cos(logx)+sin(logx)

=0 proved.