Question

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) none of these​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

This type of equation is of the form

$\displaystyle \sf{ \frac{dy}{dx} = \frac{f_1(x,y)}{f_2(x,y)} }$

we put y =

(A) vx

(В) ух

(C) bothA and B true

(D) none of these

EVALUATION

Homogeneous equations are of the form

$\displaystyle \sf{ \frac{dy}{dx} = \frac{f_1(x,y)}{f_2(x,y)} }$

Where

$\displaystyle \sf{ f_1(x,y) \: \: and \: \: f_2(x,y)}$

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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