Reference no: EM13585241

Answer each question as a discussion form with 25 to 50 words:

1) Make up a differential equation that you feel confident possesses only the trivial solution y = 0. Explain your reasoning.

2) What is missing here; can I specify y(0)=0? Because if I can, then the differential equation dy/dx = ex - x for y(0) = 0 possesses only the trivial solution since it is the derivative of the equation y(x)=ex - 1

3) For a function to have only a trivial solution of zero, I think we need a function that is zero everywhere which we can then take the derivative of. If am not mistaken, Sin y - sin (pi - y) = 0 for any value of y. The derivative of this function is cos y - cos (pi- y) which is zero too. Is that correct?