Question

This type of equation is of the form dy/dx=f1(x,y)/f2(x,y)

(A) variable seprable

(B) homogeneous

(C) exact

(D) none of these​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

This type of equation is of the form

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

(A) variable separable

(B) homogeneous

(C) exact

(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

(B) homogeneous

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