Question

(xdy − ydx)/y2 = x3/dx

Answer 1

ydx−xdy+3x

2

y

2

e

x

3

=0

Dividing both sides by y

2

we get

y

2

ydx−xdy

+3x

2

e

x

3

=0

∴d(

y

x

)+d(e

x

3

)=0

⟹

y

x

+e

x

3

=c