Shm

Question 1

Real and diff roots

Answer 1

Ae^k1t + Be^k2 t

Question 2

Real and equal

Answer 2

E^kx ( A + bX )

Question 3

Complex roots

Answer 3

E^px ( Acos ( qx ) + B sin ( qx ) )

Question 4

PI if f(X) = Ce^x

Answer 4

Y = ae^x

Question 5

PI if f(X) = ce^X but the c matches one of the roots

Answer 5

Axe^dx

Question 6

Fx = cos or sin

Answer 6

Acos(dx) + bsindx