Question

Find the differential equation of the family of lines passing through the origin.

Answer 1

Answer:

Step-by-step explanation:

Equation of a family of straight line passes through the origin is

Y=mx, where m being the slope of this line.

d(Y)/dx=m.d(x)/dx

d(Y)/dx = m

Now putting the value of m in the equation

We get

Y= (dY/dx)(x)

Answer 2

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Your question..
find the differential equation of the family of line passing through the origin?

m= y/x, where m = constant

0=xdy-ydx/x^2

xdy-ydx=0

Figure is in attachment..


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Hope this helps u sir...