maeveoneill
Junior Member
- Joined
- Sep 24, 2005
- Messages
- 93
I have the completed this question, but the answer in the back of my textbook gives me a different asnwer, if someone can explain to me why or if that answer is incorrect.
Solve in the inital value problem:
y'' + 2y' + 2y =0, y(0) =2, y'(0)=1
The auxillary equations is r^2 + 2r + 2= 0, whose roots are -1+i, -1-i
-> fish symbol thing =-1, B= 1
y(x) = e^-x (c1cosx + c2sinx)
y(o)=c1= 2, y'(O)= c2=1
y(X) = e^-x (2cosx + sinx) --- my solution, however the back of my textbook has the constatn 3 infront of sinx ... how do you get that answer if it is correct??[/img][/list]
Solve in the inital value problem:
y'' + 2y' + 2y =0, y(0) =2, y'(0)=1
The auxillary equations is r^2 + 2r + 2= 0, whose roots are -1+i, -1-i
-> fish symbol thing =-1, B= 1
y(x) = e^-x (c1cosx + c2sinx)
y(o)=c1= 2, y'(O)= c2=1
y(X) = e^-x (2cosx + sinx) --- my solution, however the back of my textbook has the constatn 3 infront of sinx ... how do you get that answer if it is correct??[/img][/list]