Q2. (i) If y = ae^mx + be^-mx, prove that y₂ - m²y = 0.
(ii) If y=500e^7x + 600e^-7x, prove that

d²y / dx₂

= 49y
(iii) If y = ae^2x + be^-x prove that ,

d²y / dx₂

-

dy / dx

- 2y = 0

Solution