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Could you give me

solutions of 3(b) And 3(c), thanks


3. Let Y -L [y]. For each of the following initial value problems, find the Laplace
transform for the differential equation, solve for Y, and find the solution for the initial
value problem by finding the inverse Laplace transform y.
y"+9y =te' with y(0) =0, y'(0) =0
0 if Ost<2
5 if 2st<4
with y(0) =0, y'(0) =0
if tz4
(c )
y" - 4y' - 5y = 8(t) with y(0) = 0, y'(0)= 0
Find the Fourier series for each function on the given interval.
f (x) =
2. for - 2sx=0
2-x for 0<xs2
on the interval [-2, 2]

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