| > | with(plots):with(DEtools): |
Warning, the name changecoords has been redefined
| > | de:=16*diff(y(t),t$2)-8*diff(y(t),t)+145*y(t)=0; |
| > | sol:=dsolve({de,y(0)=-2,D(y)(0)=1}); |
| > | sol:=solve(sol,y(t)); |
| > | plot(sol,t=0..10); |
![[Plot]](images/lecture3_4.gif)
| > |
| > | de:=diff(y(t),t$2)-diff(y(t),t)+1/4*y(t)=0; |
| > | sol:=dsolve({de,y(0)=2,D(y)(0)=1/3}); |
| > | sol:=solve(sol,y(t)); |
| > | plot(sol,t=0..3.5); |
![[Plot]](images/lecture3_8.gif)
| > | sol2:=solve(dsolve({de,y(0)=2,D(y)(0)=2}),y(t)); |
| > | plot({sol,sol2},t=0..3,y=0..6); |
![[Plot]](images/lecture3_10.gif)
| > | sol3:=solve(dsolve({de,y(0)=2,D(y)(0)=0.65}),y(t)): |
| > | plot({sol,sol2,sol3},t=0..3,y=0..6); |
![[Plot]](images/lecture3_11.gif)