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  3. a) let y be the solution of the equation  y ? =

a) Let y be the solution of the equation  y ? = (y/x)+1+(y^2/x^2) satisfying the condition  y ( 1...

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Basic Math

a)

Let y be the solution of the equation  y ? =(y/x)+1+(y^2/x^2) satisfying the condition  y ( 1 ) = 0.Find the value of the function  f ( x ) = (y ( x ))/x

at  x = e^(pi/4) .

b)

Let y be the solution of the equation  y ? = (y/x) ?(y^2/x^2) satisfying the condition  y ( 1 ) = 1. Find thevalue of the function  f ( x ) = x/(y(x))

at  x = e  .

c)

Let y be the solution of the equation

y ? + (3x^2*y)/(1+x^3)=e^x/(1+x^3) satisfying thecondition  y ( 0 ) = 1.

Find  ln ? ( 2 y ( 1 ) ).

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