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Which of the Following Is an Exact Differential Equation?
(x+y)dx+(2y+x2)dy( x + y ) d x + \left( 2 y + x ^ { 2 } \right) d y

Question 15

Multiple Choice

Which of the following is an exact differential equation?


A) (x+y) dx+(2y+x2) dy( x + y ) d x + \left( 2 y + x ^ { 2 } \right) d y
B) (x+y) dx+(2y+x) dy( x + y ) d x + ( 2 y + x ) d y
C) (x2+2xy) dx+(2y+x) dy\left( x ^ { 2 } + 2 x y \right) d x + ( 2 y + x ) d y
D) (x+y) dx+(2y2+3xy) dy( x + y ) d x + \left( 2 y ^ { 2 } + 3 x y \right) d y
E) (x+y2) dx+(2y+x) dy\left( x + y ^ { 2 } \right) d x + ( 2 y + x ) d y

Correct Answer:

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