A few hints on the first homework set

sm311o_hmk1.mws,wdj,1-14-98

> f:=sum((I*x)^k/k!,k=0..10);

> series(cos(x), x=0,12);

> series(I*sin(x), x=0,10);

>

>

> f1:=exp(alpha*x)*cos(beta*x);
f2:=exp(alpha*x)*sin(beta*x);

> with(linalg):

> W:=matrix([[f1,f2],[diff(f1,x),diff(f2,x)]]);

> Wron:=det(W);

> simplify(Wron);

>

> plot([-2*cos(2*t),3*sin(3*t),-2*cos(2*t)+3*sin(3*t)],t=0..12);

> plot(-2*cos(2*t)+3*sin(3*t),t=0..12);

> plot([-2*cos(2*t)],t=0..12);

>

>