please help me with this differential equations

[gabyyyy]

y'=4*x^(1/2) and y'=4*y^(1/2)

I dont even know how to start :/

 

[HallsofIvy]

y'=4*x^(1/2)

\(\displaystyle \frac{dy}{dx}= 4x^{1/2}\) so
\(\displaystyle dy= 4x^{1/2}dx\)

and y'=4*y^(1/2)

\(\displaystyle \frac{dy}{dx}= 4y^{1/2}\) so
\(\displaystyle y^{-1/4}dy= 4dx\)

I dont even know how to start :/

Now integrate.

 

[Ishuda]

...\(\displaystyle \frac{dy}{dx}= 4y^{1/2}\) so
\(\displaystyle y^{-1/4}dy= 4dx\)


Now integrate.

Correct typo (in red)
y^-1/2dy= 4dx

 

[HallsofIvy]

Thanks. I have so much trouble distinguishing between "2" and "4"!