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Please show all steps, thanks!! a) Solve the BVP: y" + 2y' + y = 0,...

Please show all steps, thanks!!

a) Solve the BVP: y" + 2y' + y = 0, y(0) = 1, y(1) =3

b) Prove the superposition principle: suppose that the functions y1(x) and y2(x) satisfy the homogenous equation of order two: ay'' + by' + cy = 0.

Show that the following combinations also satisfy it:

constant multiple m(x) = k*y1(x)

sum s(x) = y1(x) + y2(x)

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