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 :

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 :

cdquestions Admin · Accepted Answer

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

Answer

Both Statement I and Statement II are true

Answer

Both Statement I and Statement II are false

Answer

Statement I is true but Statement II is false

Answer

Statement I is false but Statement II is true

The Correct Option is D

Solution and Explanation

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