The general solution of the differential equation y d x-x d y-y-0 isA- x y-CB- x- Cy 2C- y-C xD- y- C x2

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Ordinary Differential Equations

The general s...

Question

The general solution of the differential equation is

A. xy = C

B. x = Cy²

C. y = Cx

D. y = Cx²

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Solution

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The general solution of the differential equation $\frac{y d x - x d y}{y} = 0$ is

a) $x y = C$

b) $x = C y^{2}$

c) $y = C x$

d) $y = C x^{2}$

\frac{y d x - x d y}{y} = 0

y d x - (x + y) d y = 0

x d y - y d x = y^{2} d x

x d y - y d x = \sqrt{x^{2} + y^{2}} d x

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