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OpenStudy (usukidoll):
??? \[y^2=cx+\frac{1}{8}c^3..............y=2xy'+y^2(y')^3\]
or
\[y^2=cx+\frac{1}{8c^3}..............y=2xy'+y^2(y')^3\]
OpenStudy (usukidoll):
I don't know what's going on.. can you go into more detail?
OpenStudy (anonymous):
\[y^2=cx+1/8 c^3 y=2xy'+y^2(y')^3\]
OpenStudy (anonymous):
y^2=cx+1/8 c^3 y=2xy'+y^2(y')^3 if the given left is a solution od the ODE right :))
OpenStudy (usukidoll):
so we are differentiating? one part of the equation with the fraction is still confusing.
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OpenStudy (usukidoll):
so in the end we should have something like \[y=2xy'+y^2(y')^3 \]?
OpenStudy (anonymous):
yes
OpenStudy (usukidoll):
could you rewrite the first equation.. it's the fraction portion that is making me lost. I don't know if \[c^3y \] is in the denominator or the numerator
OpenStudy (anonymous):
its only c^3
OpenStudy (anonymous):
1/8 c^3
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OpenStudy (usukidoll):
-_-! \[y^2=cx+\frac{1}{8}c^3. \]
OpenStudy (usukidoll):
omg I apologize the latex is crazy |dw:1436693748089:dw|
OpenStudy (usukidoll):
so we let the x and y be the variables and we treat c as a constant.