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

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 the value 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 the condition y ( 0 ) = 1.

Find ln ⁡ ( 2 y ( 1 ) ).

Expert Solution

milcah answered 2 years ago

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