f(t)
=𝑡 2 𝑒 𝑡
𝑑2
1
£(𝑡 2 𝑒 𝑡 ) = −12 𝑑𝑠2 ((𝑠−1))
=
𝑑2
1
𝑑𝑠2 (𝑠−1)
--- dturunkan dua kali
Missal u = 1, 𝑢́ = 0
V = (s-1), 𝑣́ = 1
1.)
𝑑
1
𝑑𝑠 (𝑠−1)
Missal u = 1, 𝑢́ = 0
v = (s-1), 𝑣́ = 1
𝑑
1
𝑑𝑠 (𝑠−1)
=
𝑢́ 𝑣−𝑢𝑣́
𝑣2
=
0.(𝑆−1)−1.1
(𝑆−1)2
−1
= (𝑆−1)2
2.) Missal u = -1, 𝑢́ = 0
v = (𝑠 − 1)2 , 𝑣́ = 2(𝑠 − 1)1 . 1 = 2(s – 1)
𝑑
−1
𝑑𝑠 (𝑆−1)2
=
=
𝑢́ 𝑣−𝑢𝑣́
𝑣2
0.((𝑠−1)2 −(−1)2(𝑠−1))
(𝑆−1)2
2(𝑠−1)
= ((𝑆−1)2 )2
2
= (𝑆−1)3
Jadi nilai dari £(𝑡 2 𝑒 𝑡 ) =
𝑑2
1
𝑑𝑠2 (𝑠−1)
2
= (𝑆−1)3