Find a curve whose slope at any point (x,y) is equal to 5y, and which passes through the point (1,-2)(adsbygoogle = window.adsbygoogle || []).push({});

All previous examples which i have seen of this type of question give a much more complex slope and always in terms of x.

This is causing me a bit of confusion with my answer. Should I work though it by integrating the slope and putting this equal to x instead of y i.e

x=5/2y^2 + C

then plug in my given x and y to obtain C=-9

giving a final equation of

x= 5/2y^2 -9

or should I work through using a general solution using arbitrary constant?

All help will be very much appreciated

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# Equation of a curve using a given point and slope

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