Question: Shifted Data IVP

Hello everybody,

I just realised Maple is allowed for my upcoming exam after New Year.

My plan is to have templates of the most common math problems, I might encounter for quick solutions.

Anyway, I have run into a problem with Laplace shifted data, particularly initial value problems. I have been searching for HOURS, and feel like I have look up everything on google, maplesoft and other sites without succes.

I hope some of you are able to help me. The exercise is:

y''(t) + y'(t) = 2t  , y(1/4*pi)=1/2*pi   and   y'(1/4*pi)=2-sqrt(2)

I know if you were to do it by hand, one would shift it so t = t1 = (tau + 1/4),

y''(t1) + y'(t1) = 2*(tau + 1/4) and work forward from here, getting the laplace transform and then changing t1 back to t... But how on earth does one do it with maple commands?
My best christmas wishes goes out to anybody able to help!

Also, as an extra problem, if you are feeling very helpful:

"Find a normal vector of the curve / surface at the given point P."

6*x^2 + 2*y^2 + z^2 = 225 at the point, P(5, 5, 5)
How would one command that in Maple?

Again, thank you!