Question

Calculus problem on differential equations. I am trying to find the equation of a curve.

Answer 1

This is the problem

Answer 2

This is the problem

Answer 3

you can always use https://www.desmos.com/calculator

Answer 4

dy/dx=3x/(y)^1/2
dy*(y)^1/2=3x*dx
integrate both sides
2/3y^3/2=3x^2/2+C
plug in (0,4) to workout the constant C.

Answer 5

@hippo211 I tried. Three of the answers all meet the point (0,4), but thanks.
@Abmon98 Thank you!