HI it is about differential equation, if you write by hand is ok but it must be clear to read for mysellf

3) Use parameter variation method to solve the initial value problem and graph the solution: X = (:12 :32) + (48%\" t) ,with X(0) = (g) b)For the system: dx 2 + dt _ x y dy 2 a y+x Find the linearized system for the equilibrium point (2,4), classify it (as proper node, improper, etc.) and sketch or graph the phase plane for the nonlinear system near the origin