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## Homework Statement

I need to solve the differential equations given, find the type and stability of the equilibrium at (0,0), without matricies.

## Homework Equations

none

## The Attempt at a Solution

starting:

x' = x

y' = y

dy/dx = y'/x' = y/x

=> dy/y = dx/x

integrating gives

ln y + c1 = lnx + c2

rearrange and get

ln(y/x) = c

have i done it right so far?

i get stuck at this point