Which of the following is a homogeneous differential equation?a)(xy)dxandminus;(x3+y3)dy=0b)(x3+2y2)dx+2xydy=0c)y2dx+(x2andminus;xyandminus;y2)dy=0d)(4x+6y+5)dyandminus;(3y+2x+4)dx=0Correct answer is option 'C'. Can you explain this answer?

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Which of the following is a homogeneous differential equation?

a)
(xy) dx − (x³+ y³) dy = 0
b)
(x³+ 2y²) dx + 2xy dy = 0
c)
y²dx + (x²− xy − y²) dy = 0
d)
(4x + 6y + 5) dy − (3y + 2x + 4) dx = 0

Correct answer is option 'C'. Can you explain this answer?

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Which of the following is a homogeneous differential equation?a)(xy)dx...

y²dx + (x²− xy − y²) dy = 0 is a homogeneous differential equation ,because the degree of each individual term is same i.e. 2.

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Which of the following is a homogeneous differential equation?a)(xy)dx−(x3+y3)dy=0b)(x3+2y2)dx+2xydy=0c)y2dx+(x2−xy−y2)dy=0d)(4x+6y+5)dy−(3y+2x+4)dx=0Correct answer is option 'C'. Can you explain this answer?

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