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Question

Which of the following is/are correct regarding homogeneous differential equation?

A
Represented in the form: M(x,y)dxN(x,y)dy=0
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B
Represented in the form: M(x,y)dx+N(x,y)dy=0
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C
Both M(x,y),N(x,y) are homogeneous functions of the same degree
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D
M(x,y),N(x,y) are homogeneous functions with different degrees
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Solution

The correct options are
B Both M(x,y),N(x,y) are homogeneous functions of the same degree
D Represented in the form: M(x,y)dx+N(x,y)dy=0
a Differential equation of the formM(x,y)dx+N(x,y)dy=0 is called a homogenous differential equation if both M(x,y) and N(x,y) are homogenous and are of same degree k where kϵR+

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