Consider the given differential equation: y" – y' – 2y = 0. A) Show that the functions y = e-*, y2 = e2x, and y3 = 3 solutions of the given DE. , y2 = e2x, and y3 = 3 form a fundamental set of...

Solve both parts kindly


Extracted text: Consider the given differential equation: y" – y' – 2y = 0. A) Show that the functions y = e-*, y2 = e2x, and y3 = 3 solutions of the given DE. , y2 = e2x, and y3 = 3 form a fundamental set of solutions B) Show that the functions yı = e*, %3D %3D on (-o, 0). Write the general solution of this differential equation.