Given below are two statements :
Statement I : Mdx + Ndy = 0 is said to be an exact differential equation if it satisfies the following condition \(\rm \frac{\partial M}{\partial x}=\frac{\partial N}{\partial y}\)
Statement II : If Mdx + Ndy = 0 is not an exact differential equation and \(\rm \frac{1}{N}\left(\frac{\partial M}{\partial y}-\frac{\partial N}{\partial x}\right)=f(x)\) then I.F. = \(\rm e^{\int f(x)dx}\)
In the light of the above statements, choose the correct answer from the options given below
1
Both Statement I and Statement II are true
2
Both Statement I and Statement II are false
3
Statement I is true but Statement II is false
4
Statement I is false but Statement II is true