A homogeneous differential equation of the form can be solved by making the substitution A. y = vx B. v = yx C. x = vy D. x = v

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Solution

The homogeneous differential equation is dx dy =h( x y ).

To solve the above differential equation we need to substitute x=vy.

Hence, correct option is (C).

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Similar questions

\frac{d x}{d y} = h (\frac{x}{y})

\frac{d x}{d y} = h (\frac{x}{y})

A homogeneous differential equation of the form can be solved by making the substitution

A. y = vx

B. v = yx

C. x = vy

D. x = v

A homogeneous equation of the form $\frac{d y}{d x} = h (\frac{x}{y})$ can be solved making the substitution
(a) y=vx
(b) v=yx
(c) x=vy
(d) x=v

y = z^{α}

(x^{2} y^{2} - 1) d y + 2 x y^{3} d x = 0

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