In order for a differential equation to be called an exact differential equation, it must be given in the form M(x,y)+N(x,y)(dy/dx)=0. To find the solution to an exact differential equation, we’ll 1) Verify that My=Nx to confirm the differential equation is exact, 2) Use Psi=int M(x,y) dx or Psi=int N(x,y) dy to find Psi(x,y), including a value for h(y) or h(x), and then 3) Set Psi(x,y)=c to get the implicit solution.
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