Question

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

• A. Both Statement I and Statement II are true
• B. Both Statement I and Statement II are false
• C. Statement I is true but Statement II is false
• D. Statement I is false but Statement II is true

Answer 1

Answer: (D)

Statement I is false but Statement II is true

Answer 2

The correct option is(D): Statement I is false but Statement II is true.