Hi could someone explain why this result occurs when solving this differential equation.(adsbygoogle = window.adsbygoogle || []).push({});

dx/dt= xt

1/xdx/dt=t then intergrating both side we get with respect to dt we get,

Inx=t^2/2 + c now this is the bit i don't understand why does the answer then become,

x=Ce^2/t^2

I get really confused how the equation gets re-arranged into the above form after the intergration has occured. Any help please?

Thanks

James

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# Differential equation what going on?

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