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## Homework Statement

The question is to sketch for values of t = 0, t =0.25, t = 0.5, t=1 and t = 1.25 for the wave equation

Ytt = Yxx in the infinite domain with initial conditions

y(x,0) = f(x) =

\begin{cases}

1 & \text{if } 0 ≤ x ≤ 1 \\

& 0 (otherwise)

\end{cases}

Yt(x,0) = 0

## Homework Equations

Y(x,t) = a(x,t) + b(x,t)

where a(x,t) = ## \frac {1} {2} \ ## f(x+t)

and b(x,t) = ## \frac {1} {2} \ ## f(x-t)

## The Attempt at a Solution

These are the sketches I obtained for those times and they are not to exactly measured to the points as I did them in paint. Can someone please tell me if the sketches are correct for this question!

for t =0

for t= 0.25

Attaching the remaining ones in the post below as you can't attach more than 6 in one post.