y'=(1-xy)^(1/2) -- what type of DE is this?

[Guest]

What kind of DE is this

y'=(1-xy)^(1/2)

how to solve it?

thx

 

[galactus]

I would say integrate both sides:

\(\displaystyle \L\\\int{\frac{dy}{dx}}=\int\sqrt{1-xy}dx\)

\(\displaystyle \L\\y=\frac{-2(1-xy)^{\frac{3}{2}}}{3y}+C\)

 

[Guest]

If I differentiate your solution, does it back to y'=(1-xy)^(1/2) ????

Thanks

:wink:

 

[stapel]

If I differentiate your solution, does it [result in] y' = (1 - xy)^(1/2) ?

Differentiate and find out.

Eliz.