Solve the following problems.
a) What is the order of the differential equation ? ? = ? 2 ? 3?? 10? Is it linear ?
b) Determine whether the differential equation ? ? = ? 2 ? 3? ?10 possesses constant solutions. If yes find these constantsolutions.
c) Find the value(s) of ? so that the function ? = ? ?? is asolution of ? ?? ? 3? ? ? 10? = 0.
Do you think that ? = ?1? ?2? + ?2? 5? , where ?1 and ?2 areconstants, is a solution for the differential equation ? ?? ? 3? ?? 10? = 0? Justify your answer.
