Recent content by JM00404

Does anyone have or know where I can find literature values for the melting points (or melting ranges) of the following three semicarbazone compounds? 4-Methoxybenzaldehyde semicarbazone Isopropylbenzaldehyde semicarbazone Carvone semicarbazone (either the R or S diasteriomers) I haven't been...

Evening. I am having difficulty solving the the problems that have been included below. For the first problem, I essentially followed what the hint suggested that I do and I still cannot "see" the solution. I am honestly not sure how to even go about solving the second problem. For the...

Please see the PDF attatchment to view the problems. Thank you for your time.

Problem I. Consider the equation y''+a_1y'+a_2y=0 where the constants a_1,a_2 are real. Suppose \alpha+i\beta is a complex root of the characteristic polynomial, where \alpha,\beta are real, \beta\neq 0 . (i) Show that \alpha-i\beta is also a root. (ii) Show that any solution...

Find all solutions \phi of y''+y=0 satisfying: 1) \phi(0)=1, \phi(\pi/2)=2 2) \phi(0)=0, \phi(\pi)=0 3) \phi(0)=0, \phi'(\pi/2)=0 4) \phi(0)=0, \phi(\pi/2)=0 I cannot seem to solve parts 2-4 in a way that...

Thank you for posting that identity. I have made some modifications to the original post-it appears that some typos were made while I was in the process of typing. All of the equations should now look more hospitable. Thank you for your time.

Consider the equation Ly'+Ry=E\sin(\omega x) , where L,R,E,\omega are positive constants. 1) Compute the solution \phi satisfying \phi(0)=0 . 2) Show that this solution may be written in the form \phi(x)=\frac{E\omega...