Given that two quantities x and y, both vary with time t. express the following statesments as differential equations involving x, y and t.

The rate of change of y with respect to t is inversely proportional to x.

How do I continue?

Printable View

- Dec 17th 2011, 06:31 PMPunchExpress as a differential equation in terms of x, y and t
Given that two quantities x and y, both vary with time t. express the following statesments as differential equations involving x, y and t.

The rate of change of y with respect to t is inversely proportional to x.

How do I continue? - Dec 17th 2011, 08:09 PMILikeSerenaRe: Express as a differential equation in terms of x, y and t
I believe you are done.

You expressed the statement as a DE.

You cannot solve it without more information. - Dec 17th 2011, 10:04 PMchisigmaRe: Express as a differential equation in terms of x, y and t
The DE is 'separable variables' and can be written as...

(1)

If x(t) is*known*, then the solution is obtained in standard way integrating both terms of (1). If it isn't You need another DE to find x(t) and y(t)...

http://www.sv-luka.org/ikone/ikone180a.jpg

Marry Christmas from Serbia