# Question: for each of the following differential equations 1 xx22x 2...

###### Question details

For each of the following differential equations: 1.
x’=x^2-2x

2. x”=x^3-x

3. x”=sin(x)+x

a) find the equilibria

b) use the derivative test to determine whether the equilibria
represents sinks or sources

c) sketch the phase line