Question

Solve the differential equation (dy)/(dx)=(4y^(2))/(x) ?

Answer 1

`(dy)/(dx)=(4y^(2))/(x)`

This separates:

`(dy)/(y^(2))=4\ dx/(x) \`

And integrates:

`- 1/(y)=4ln abs (x) + C`

`:. y =- 1/(4ln abs (x) + C )`