Question

How do I find the solution to the differential equation
dy/dx=4x/y where y(2)=-2???

Please explain your thought process too, I'm completely lost here

Answer 1

get the like variables together and integrate
integrate y*dy=integrate 4x*dx
(1/2)y^2=2x^2+c
y=sqrt(4x^2+2c)

Answer 2

2=sqrt(4(-2)^2+2c)=sqrt(16+2c)
4=16+2c
c=-6
so
y=sqrt(4x^2+2(-6))

Answer 3

Awesome , thank you