1) y" - 4y = e², y (0) = 0, y' (0) = 0

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Must solve the question completely all 4 parts.Don't solve partially. Skip it pls if u don't want to solve it completely 4 parts. 

Calculus
Please solve each Differential Equation and please
classify each Differential Equation as (IVP or BVP)
and expain why and please show every single step!
1) y" - 4y = e², y (0) = 0, y' (0) = 0
2) y" + 4y + 4y = e², y (1) = 0, y' (0) = 0
3) y" + 4y = cos(x), y (T) = 0, y' (T) = .0
4) x²y" + 4xy + 4y = x³, y (0) = 0, y (e) = 0
Transcribed Image Text:Calculus Please solve each Differential Equation and please classify each Differential Equation as (IVP or BVP) and expain why and please show every single step! 1) y" - 4y = e², y (0) = 0, y' (0) = 0 2) y" + 4y + 4y = e², y (1) = 0, y' (0) = 0 3) y" + 4y = cos(x), y (T) = 0, y' (T) = .0 4) x²y" + 4xy + 4y = x³, y (0) = 0, y (e) = 0
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