2.5) Find the set of all sclutions in x of the following inhomogon cous linear systems Ax=b where A and b are defined as follows: a 11-1-1 A= 257-5 2-1 13 L52-42 bs 1 -2

3) Please help with following multiple choice ASAP

Consider the one- dimensional ODE dot u =u2 +u+a , where a is a real parameter . Find the (real) fixed points of the system for all possible values of a and determine their stability. Draw a bifurcation diagram indicating the coordinates of the bifurcation point and the stability of the fixed points by means of solid and dashed lines. Give the name of the type of bifurcation

Let Ax = b be a nonhomogeneous linear system with a particular solution v. Let S = {V₁, V2, V3, V₁} be a basis for the solution space of the corre- sponding homogeneous system Ax = 0. Prove that SU {v} = {V1, V2, V3, V₁, V} is linearly independent.