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

G

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Guest
What kind of DE is this

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

how to solve it?

thx
 
I would say integrate both sides:

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

\(\displaystyle \L\\y=\frac{-2(1-xy)^{\frac{3}{2}}}{3y}+C\)
 
If I differentiate your solution, does it back to y'=(1-xy)^(1/2) ????

Thanks

:wink:
 
atomos said:
If I differentiate your solution, does it [result in] y' = (1 - xy)^(1/2) ?
Differentiate and find out.

Eliz.
 
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