Differential Equation | Piecewise forcing function example

We use the Laplace transform and the unit step function to find the solution to a second order differential equation with a piecewise forcing function.

[HoSza]

Nice backflip and I see the character development starting from earlier videos, but can you do the same proof, while riding a horse and shooting arrows backwards?

[СашаФещенко-пи]

Can you make a set of the videos about systems of differential equations ?
Thank you so much!!

[jimf]

What are you trying to do in practical terms? How is the applied an any real world problem?

[kubazycinski]

Should it be t>1 instead t>=0 on the beggining?

[jemmyfebryan]

1. Laplace of tⁿ should in term of s
2. t >= 0 should be t >= 1
3. Laplace of u(t - 1) is e^(-s)/s

[tracyh]

In the force definition, should it be t>=1, instead of t>=0 ?

[GrEyCoBo]

The laplace transform of U(t-1) is actually e^-s/s