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Solve the following differential equations using inspection: 1) y”+4y=12 2) y””+4y”+4y=-20 3) (D^4 -4D^2)y=24 4) y”-y=x-1...

Solve the following differential equations using inspection:
1) y”+4y=12
2) y””+4y”+4y=-20
3) (D^4 -4D^2)y=24
4) y”-y=x-1
5) D(D-3)y=4
6) (D^2+2D-8)(D+3)y=0
7) y”-y’-2y=18xe^(2x)
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