answer each question by true or false and explain 1) L{t * e³t} = L{te³t} 2) L-¹{L{t* et}} = t * e³t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Discussion 3: Convolution Theorem
1) L{t * e³t } = L{te³t}
2) L-¹{L{t * e³¹}} = t * e³¹
3) L-¹(A) L-¹{}}.L '{,,}
mm
4) L¹ (¹) L-¹ { } } × L^'{-\₂;}
Simi
5) t² * e³¹ - f c²e¹-¹¹ di
6) t²e³¹ - t²c³t
answer each question by true or false and explain
Transcribed Image Text:Discussion 3: Convolution Theorem 1) L{t * e³t } = L{te³t} 2) L-¹{L{t * e³¹}} = t * e³¹ 3) L-¹(A) L-¹{}}.L '{,,} mm 4) L¹ (¹) L-¹ { } } × L^'{-\₂;} Simi 5) t² * e³¹ - f c²e¹-¹¹ di 6) t²e³¹ - t²c³t answer each question by true or false and explain
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