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Show that every separable equation of the form M(t)+ N(y)dy/dt=O is exact
Chapter 1, Problem 15(choose chapter or problem)
QUESTION:
Show that every separable equation of the form M(t)+ N(y)dy/dt=O is exact.
Questions & Answers
QUESTION:
Show that every separable equation of the form M(t)+ N(y)dy/dt=O is exact.
ANSWER:Step 1 of 2
The given differential equation is, . The objective is to prove that the equation is exact.
Multiply both sides of the given equation by .
The obtained equation is of the form .
Then, on comparing we get, and .