Question

What is the general solution to?
dy/dx = 2xy

Answer 1

separate variables and integrate

Answer 2

Do you mean to have it like
In 2x dx
In y dy

Answer 3

\[\dfrac{dy}{dx} = 2xy\]
\[\dfrac{1}{y}~dy = 2x ~dx\]
\[\int \dfrac{1}{y}~ dy = \int 2x ~dx\]

Answer 4

Okay then we need to simplify or add a + C

Answer 5

Wow, thank you!

Answer 6

\[\dfrac{dy}{dx} = 2xy\]
\[\dfrac{1}{y}~dy = 2x ~dx\]
\[\int \dfrac{1}{y}~ dy = \int 2x ~dx\]
\[\ln |y| = x^2 + \ln C\]
\[y = Ce^{x^2}\]

Answer 7

corrected above^

Answer 8

Ok, I see what you added. Thank you again

Answer 9

you're welcome :D