Practicing Success
Solve : y''2 + y' - 6y = 0 |
e-3x e3x e-6x e6x |
e-3x |
Put d/dx = D D2y + Dy - 6y = 0 D2 + D - 6 = 0 D2 +3D - 2D - 6 = 0 D(D+3) -2(D+3) = 0 D=-3,2 for D=-3 ⇒ d/dx=-3 dy/dx=-3y dy/y=-3dx ln y=-3x y=e-3x Similarly, solve for D=2. |