% Simple ODE
% Dr Owen Williams
% Institute of Science and Art
% University of Wales Trinity Saint David

clear; clc
syms y(x)
Dy = diff(y);

ode = 100*diff(y,x,2)+1200*diff(y,x)+18000*y == 0;
cond1 = y(0) == 0;
cond2 = Dy(0) == 2;
conds = [cond1 cond2];
ySol(x) = dsolve(ode,conds)
figure
ezplot(ySol)