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MATHEMATICS · Single correct · CBSE · Mathematics · Differential Equations · Differential Equations
Problem 17. Which of the following is a homogeneous differential equation?
(A) `( 4 x + 6 y + 5 ) d y − ( 3 y + 2 x + 4 ) d x = 0 (4 x+6 y+5) d y-(3 y+2 x+4) d x=0 ( 4 x + 6 y + 5 ) d y − ( 3 y + 2 x + 4 ) d x = 0 ( x y ) d x − ( x 3 + y 3 ) d y = 0 (x y) d x-\left(x^{3}+y^{3}\right) d y=0 ( x y ) d x − ( x 3 + y 3 ) d y = 0 ( x 3 + 2 y 2 ) d x + 2 x y d y = 0 \left(x^{3}+2 y^{2}\right) d x+2 x y d y=0 ( x 3 + 2 y 2 ) d x + 2 x y d y = 0 y 2 d x + ( x 2 − x y − y 2 ) d y = 0 y^{2} d x+\left(x^{2}-x y-y^{2}\right) d y=0 y 2 d x + ( x 2 − x y − y 2 ) d y = 0 Browse the problem library