ok im having a bit of a time solving this problem... y''-5y'+6y=U(t-1) y(0)=0, y'(0)=1 the Unit step is giving me a problem...can i just make it e^-s and solve it? any help would be appreciated.. thanks in advance!
Follow Math Help Forum on Facebook and Google+
Originally Posted by slapmaxwell1 ok im having a bit of a time solving this problem... y''-5y'+6y=U(t-1) y(0)=0, y'(0)=1 the Unit step is giving me a problem...can i just make it e^-s and solve it? any help would be appreciated.. thanks in advance! Split the problem in two parts... a) find the solution of the initial values problem... ... and call $\displaystyle \varphi$ this solution... b) find the solution of the initial values problem... Kind regards $\displaystyle \chi$ $\displaystyle \sigma$
Originally Posted by slapmaxwell1 ok im having a bit of a time solving this problem... y''-5y'+6y=U(t-1) y(0)=0, y'(0)=1 the Unit step is giving me a problem...can i just make it e^-s and solve it? any help would be appreciated.. thanks in advance! It looks like you are doing a Laplace transform? Note that $\displaystyle \mathcal{L} \{ U(t - t_0) \} = \frac{e^{-st_0}}{s}$ Since $\displaystyle t_0 = -1$ what is the sign in the exponential? -Dan
View Tag Cloud