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28.2x^(2)(dy)/(dx)-2xy+y^(2)=0,y(e)=e...

28.2x^(2)(dy)/(dx)-2xy+y^(2)=0,y(e)=e

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Solve each of the following initial value problem: 2x^(2)(dy)/(dx)-2xy+y^(2)=0,y(e)=e

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Solve the differential equation 2x^(2)(dy)/(dx)-2xy+y^(2)=0,y^(2)(e)=e

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e^(-x^(2))(dy)/(dx)=2xy

dy/dx+2xy=e^(-x^2)

If y=x^(2)e^(x),"show that "(d^(2)y)/(dx^(2))-(dy)/(dx)-2(x+1)e^(x)=0

y^(2)dx+(x^(2)+xy+y^(2))dy=0

(dy)/(dx)=e^(x+y)+x^(2)e^(y)

(dy)/(dx)=e^(x-y)+x^(2)e^(-y)