PDA

View Full Version : solving differential equation with laplace transform


niko2000
Oct12-04, 03:51 PM
Hi!
I have tried to solve this equation:
v''+v'+v=e^(-t)
v(0)=1
v'(0)=3
I have done laplace transform and got this:
V(s)=(s^2+5s+5)/((s^2+s+1)(s+1)) (not sure if it's right)
Then I have tried to break this fraction to partial fractions. At the end of calculations I have got some weird fractions. Some time has passed since I have learned this so I would be really thankful if anybody could check if the fraction I've got is right and solve it.
Regards,
Niko