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  3. 4(a)verify that the equation y=lnx-lny is an impli

4(a)Verify that the equation y=lnx-lny is an implicit solution of the IVP,                   ydx=x(y+1)dy                                 y(e)=1                                              (b) Consider the IVP, test...

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Advance Math

4(a)Verify that the equationy=lnx-lny is an implicit solution of the IVP,

                 ydx=x(y+1)dy    

                           y(e)=1                                        

   (b) Consider theIVP, test whether it is exact and solveit.    

            x(x-y)dy=-(3xy-y^2)dx                  

                     y(-1)=1                                       

(c) Determine the degree of thefollowing homogeneousfunction                                                

      (i)f(x,y)=4x^2+2y^4,                                     

      (ii)f(x,y)=√5x^6-3y^6+4x^2y^4,           

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