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 ) ).
