Question

The solution of the equation(D^2-3D+2)y=0

Answer 1

Answer:

How do you evaluate (D²-3D+2) y=0?

Given differential equation is

(D² - 3D + 2)y = 0

Auxiliary equation of above differential equation is

D² - 3D + 2 = 0

=> D² - 2D - D + 2 = 0

=> D(D - 2) - 1(D - 2) = 0

=> (D - 2)(D - 1) = 0

=> D = 2,1

Hence the general solution is given by

y = c₁e²ˣ + c₂eˣ