Consider two differential equations: I: e y dx + (xe y + 2y)dy = 0 II: xdy + 2y 2 dx = 0 Which of the following statements is correct?

Correct Answer is : I is exact but II is not an exact differential equation.

Both I and II are exact differential equation.

I is not exact but Ii is an exact differential equation.

Neither I nor II are exact differential equations

I is exact but II is not an exact differential equation.

AAI ATC Junior Executive 2018 Shift 1 Paper

Question : 66 of 120

Marks: +1, -0

Consider two differential equations:
I: e^y dx + (xe^y + 2y)dy = 0
II: xdy + 2y² dx = 0
Which of the following statements is correct?

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