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Mathematics 22 Online
OpenStudy (czesc):

EASY MEDAL AND FAN: Write and then solve for the differential equation for the statement: The rate of change of y with respect to x is inversely proportional to y^2.

OpenStudy (jdoe0001):

hmmm I can see what it might be, I think dunno what "solve" stand for though

OpenStudy (jdoe0001):

sounds like \(\bf \cfrac{dy}{dx}=\cfrac{1}{y^2}\) where "y" is a function in "x" terms

OpenStudy (btaylor):

From where @jdoe0001 left off, now you can solve the differential equation. Put all the y and dy terms on the left side, and all the dx and x terms on the right side. You will have: \[y^2 dy = dx \]You can integrate this to solve for y as a function of x.

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