SOLUTION: In the following differential equation, test for exactness and determine the solution: {{{ (xdy-ydx)/y^2=x^3dx }}} Answer: {{{ 4x+x^4y=Cy }}}

Question 1196937: In the following differential equation, test for exactness and determine the solution:

Answer:
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.


 = 


Left side is  .


Right side is  .


So, your equation is

     = .


It implies

     =  + C,    where  C = const.


It means that 

    4x + x^4*y = Cy.


which is your answer.

Solved.

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