Page 168 - Buku PD 2020 Lengkap Pak Panjaitan

2
-2x
2
1. ( D + 4) y= 8e + 4x + 2, y(0) = 2, y’(0) = 2
2
2. y’’- 3y’ +2y = 2x – 6x + 2, y(0) = 4, y’(0) = 3
3. y”’ + 9y’ = 0, y(0)= 4, y’(0) = 0, y”(0) = 9
2
4. (8 D + 2D – 1)y = 0, y(0) =5/2, y’(0) = -13/8
5. y” + 25y = 5x , y(0) = 5, y’(0) =-4,8

JAWABAN :

-2x
1. y = cos2x + 2 sin 2x + e + x
x
2
2x
2. y = 5 e - e + x
3. y = 5 – cos 3x
x/4
4. y = 3 e -x/2 – ½ e
5. y = 5cos 2x – sin 5x + 0,2x

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