2. Solve the equation finding a general solution. d² y dx² dy - 3+2y=0 dx a) e) d² y dx² d² y dx² d²y dx² dy dx +4- dy dx +5- +4y=0 +2y=0 -10% dx +25y = 0 b) d) h) d² y dx² d²y dx² d²y dx² -9y=0 +5% dx dy dx 4- d'y dy + dx² +6y=0 dx 13y = 0 - + y = 0

dzy Calculate dx2 y = e-x + ex dzy dx2 d?y Calculate dx2 y = -3x2 + 6x d?y dx2 d?y Calculate dx2 d?y dx2 dzy Calculate dx2 y = 0.4x-0.3 dx2

1b

(b) Use the undetermined coefficient technique to solve d²y dy + 10 + 25y = 14e-5x. dx %3D dx?

D