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Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 F₁ (t) = −6(t + 2) + 8(t-2)........ equation 3 mow t replace by w, ejw te-jw F₁(w) = -2 2 ejw-e-jw 2 F₁ (w) -4 F₁(w) = 47win w. and x 2

Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 F₁ (t) = −6(t + 2) + 8(t-2)........ equation 3 mow t replace by w, ejw te-jw F₁(w) = -2 2 ejw-e-jw 2 F₁ (w) -4 F₁(w) = 47win w. and x 2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Apply Fourier transform, |jw F(w) = F₁ (w) + F₂(w)...... equation 2 F₁ (t) = -8(t + 2) + now t replace by w, F₁ (w) = -2 ejw te-jw 2 ejw-e-jw 2 F₁ (w) -4 F₁(w) = 47wSin w. and 8(t-2)........ equation 3 x 2 How did he get the value inside the circle
Transcribed Image Text:Apply Fourier transform, |jw F(w) = F₁ (w) + F₂(w)...... equation 2 F₁ (t) = -8(t + 2) + now t replace by w, F₁ (w) = -2 ejw te-jw 2 ejw-e-jw 2 F₁ (w) -4 F₁(w) = 47wSin w. and 8(t-2)........ equation 3 x 2 How did he get the value inside the circle
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