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...

90.2K

Verified Solution

Question

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,           

Answer & Explanation Solved by verified expert
4.4 Ratings (786 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students