A homogeneous differential equation of the form d x-d y-hx-y can be solved by making the substitutionA- y-v xB- v-y xC- x-v yD- x-v

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Equation of a Plane Parallel to a Given Plane

A homogeneous...

Question

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

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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

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

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

\frac{d y}{d x} = \frac{x + y}{x - y}

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