This type of equation is of the form dy/dx=f1(x,y)/f2(x,y),we put y=
(A) vx
(В) ух
(C) bothA and B true
(D) no

1 thought on “This type of equation is of the form dy/dx=f1(x,y)/f2(x,y),we put y=<br />(A) vx<br />(В) ух<br />(C) bothA and B true<br />(D) no”

1. SOLUTION

   TO CHOOSE THE CORRECT OPTION

   This type of equation is of the form

   [tex] \displaystyle \sf{ \frac{dy}{dx} = \frac{f_1(x,y)}{f_2(x,y)} }[/tex]

   we put y =

   (A) vx

   (В) ух

   (C) bothA and B true

   (D) none of these

   EVALUATION

   Homogeneous equations are of the form

   [tex] \displaystyle \sf{ \frac{dy}{dx} = \frac{f_1(x,y)}{f_2(x,y)} }[/tex]

   Where

   [tex] \displaystyle \sf{ f_1(x,y) \: \: and \: \: f_2(x,y)}[/tex]

   are homogeneous functions of the same degree in x and y

   To solve a homogeneous equation we put

   y = vx

   From above we can conclude that the correct option is y = vx

   FINAL ANSWER

   Hence the correct option is (A) vx

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