Differential Equations Answers

A string stretched between two fixed points at a distance 2l apart and the points of the string are given initial velocities v ={CX/l, 0<x<l}
{C(2l-x)/l,l<x<2l
Find the displacement of the string at any time

A string is stretched between two fixed points at a distance 2l apart and the points of the string are given initial velocities v={CX/l, 0<x<l
C(2l-x)/l, l<x<l
Find the displacement of the string at any timr

q+xp=p^2

Research an application of differential equations in your field (eg electronics engineering student electronics engineering). Describe this application and give a numerical example.
Write the sources you used at the end of the assignment.

Find Z[e^-at cos bt]

Solve given differential equations by separation of variables

dy/dx=y^3/x^2

Y=xdy/dx+1/2(dy/dx)^2

Find general solution of equation 2x(y+z^2)p+y(2y+z^2)q=z^3 and deduce that yz(z^2+yz-2y)=x^2 is a solution