7 DETAILS MY NOTES SCALCLS1 10.4.022. ASK YOUR TEACHER Find all equilibria and determine their local stability properties. (Order equilibria from smallest x-coordinate to largest, then by y-coordinate.) x' = x( 4 - X), y' = y( 5 - y) (x, V ) = O locally unstable O locally stable O inconclusive ( x, V ) = O locally unstable O locally stable O inconclusive ( x, V ) = O locally unstable O locally stable O inconclusive ( x , V ) = O locally unstable O locally stable O inconclusive\f2. DETAILS MY NOTES SCALCLS1 10.2.023. ASK YOUR TEACHER Solve the initial value problem dx/dt = Ax with x(0) = x0. A=[3_ ]] xo = 3 x(t) =