Question

The differential equation M(x,y) dx+N(x,y) dy = 0 possess number of integrating factors
Ofinite
O infinite
countable
uncountable​

Answer 1

The differential equation M(x,y) dx+N(x,y) dy = 0 possesses an infinite number of integrating factors.

• An integrating factor is a function that when multiplied by a given differential equation, it makes the left-hand side of the equation into an exact derivative.
• It means that the integrating factor is used to make the differential equation into an exact differential equation. This allows for the equation to be integrated and solved for the general solution.
• In general, there can be infinite numbers of integrating factors for a given differential equation.
• This is because there can be multiple functions that when multiplied by the equation, make it into an exact derivative.
• So, the differential equation M(x,y) dx+N(x,y) dy = 0 possesses infinite number of integrating factors.

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