Linear systems diff eq question

[sdusheyko]

given x(t)=impulse
find y(t)

y(prime)=4y=8x

i am lost

 

[vela]

I assume there's a typo in your post and the differential equation is actually y'+4y=8x, so you want to solve

$$y'+4y=\delta(x)$$

where $\delta(x)$ is the Dirac delta function. Is this right? Did the problem specify an initial condition? (Engineers typically assume y(0^-)=0.)

 

[sdusheyko]

I assume there's a typo in your post and the differential equation is actually y'+4y=8x, so you want to solve

$$y'+4y=\delta(x)$$

where $\delta(x)$ is the Dirac delta function. Is this right? Did the problem specify an initial condition? (Engineers typically assume y(0^-)=0.)

you're right about everything you've said. I'm going to stick my head in a diff eq book and if i get lost i'll probably come back and whine.

thanks