The Murder Mystery Method to Solve Exact Differential Equations

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We want to do the inverseprocedureWe want to be able to do the inverse procedure, start with thedifferential equation( ) 3y2+ 4x3 dx + ( 6xy+ 2y) dy = 0And obtain as an answer the relationship between x and y
The mystery we have to solveTherefore this is the mystery we have to solve:If we have an equation in the form Mdx+Ndy=0; is there afunction F(x,y) such that its differential change is Mdx+Ndy?•If the answer is YES, then the solution of the differential equationis the relationship F(x,y)=C (the equation is called “exact”)•If the answer is NO, then we have to use another method tosolve the differential equation (the equation is called “nonexact”)
Page 5 and 6: Creating a Differential Equation fr
Page 7: Creating a Differential Equation fr
Page 11 and 12: The murderer F and the witnessesM a
Page 13 and 14: If clues are consistent, then you k
Page 15 and 16: Murder Mystery Method Applied to Id
Page 17 and 18: Example 1: Interrogation(Integratio
Page 19 and 20: Example 1: Final Solution Solve: (3
Page 21 and 22: Example 2: Interrogate (Integrate)
Page 23 and 24: Example 2: Final Solution Solve: (y

The Murder Mystery Method to Solve Exact Differential Equations

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