solve the given differential equations:

1. X' = (1335)X

2. X' = (12490)X

3. dx/dt = 3x - y - z

dy/dt = x + y -z

dz/dt = x - y + z

4. dx/dt = 3x + 2y + 4z

dy/dt = 2x + 2z

dz/dt = 4x + 2y + 3z

5. X' = 510402025X

6. X' = 100031011X

7. X' = 120021010X

8. X' = 400140014X

9. (t - 5)^2 y'' -2(t-5)y' + 2y = 0, t > 5, y₁=(t-5)^2

10. (t+2)^2y'' + 3(t + 2)y' + y =0, t > -2, y₁=(t+2)^-1

11. y" - 2y' + y = (-8 - 6x)cos (2x) + (-11 + 8x) sin(2x)

12. y" - 2y' + y = ( 12x - 4) e^-5x