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Using the method of undetermined coefficients, solve the following IVP y″ + y′  =  f (x)  ...

Using the method of undetermined coefficients, solve the following IVP

y″ + y′  =  f (x)  =
{ 3 0  ≤  x  <  1
0 x  ≥  1

y(0)  =  y′(0)  =  0.

Your solution will be a piecewise-defined function. Enter it's parts into the boxes below. Remember that both the solution, and its derivative, must be continuous.
(a) Solution for x ∈ [0, 1).
(b) Solution for x  ≥  1.
Math   Calculus   
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