Question

(dy/dx)= (y/x) differential equation​

Answer 1

Answer:

do we have to solve the differential equation?

let us do it.

dy/dx = y/x

dy/y = dx/x

integrating both side, we have

int(dy/y) = int(dx/x)

logy = logx + logm (though we can assume the integration constant as simply c or m. log m serves extra purpose.

logy = log mx

y = mx is an equation of straight line passing through origin.