Question

Which of the following is the general solution of the differential equation dy dx equals the quotient of 8 times x and y?

Answer 1

https://gyazo.com/16816aebcb80f28e1fb069e65da2251f

Answer 2

@jim_thompson5910

Answer 3

kindly type the question in the comment section in mathematical form

Answer 4

\[\frac{ dy }{ dx}=\frac{ 8x }{ y} \]

Answer 5

implies
\[ydy=8xdx\]

Answer 6

integrating we get
\[\frac{ y^2 }{ 2 }=8\frac{ x^2 }{ 2 }+\frac{ C }{ 2 }\]

Answer 7

implies
\[y^2=8x^2+C\]

Answer 8

@Ephemera