In: Advanced Math
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 constant solutions.
c) Find the value(s) of ? so that the function ? = ? ?? is a solution of ? ′′ − 3? ′ − 10? = 0.
Do you think that ? = ?1? −2? + ?2? 5? , where ?1 and ?2 are constants, is a solution for the differential equation ? ′′ − 3? ′ − 10? = 0? Justify your answer.