Economics Dynamics Problems 90

Economics Dynamics Problems 90 - 74 Economic Dynamics In...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 74 Economic Dynamics In particular, we are assuming that y is a function of t , y ( t ). Then we employ the dsolve command by using dsolve(diff(y(t),t)=f(y(t),t),y(t)); Note a number of aspects of this instruction: (1) The equation utilises diff( y ( t ), t ) to denote dy / dt (2) The function f ( y ( t ) , t ) may or may not be independent of t (3) y ( t ) is written in the equation rather than simply y (4) The second term, y ( t ), is indicating what is being solved for and that t is the independent variable. It is possible to first define the differential equation and use the designation in the dsolve command. Thus Eq:=diff(y(t),t); dsolve(Eq,y(t)); If Maple can solve the differential equation then this is provided in the output. If Maple can find no solution, then the programme simply gives a blank output. The user does not need to know what algorithm is being used to solve the differential equation. What matters is whether a solution can be found. What is important to understand, however, is that a first-order differential equation (as we are discussing...
View Full Document

Ask a homework question - tutors are online