Solution of IDZ Ryabushko 16.1 - Variant 8

Section: Chapter 16. Operational Calculus
Topic: Originals and Laplace Transforms
Description: Finding the transform from a given original, finding the original from a given transform, using properties of the Laplace transform (linearity, shifting, delay, etc.).

Tasks:
1. Find the Laplace transform of the given original. The values of the parameters α, ω, Mᵢ (i = 0, 1, 2, 3), A, B, C, D, E, F, G are given in Table 16.1.
2. Find the transform of the function. The functions f₁(t), f₂(t) and the numerical values of the parameters t₁, t₂ are given in Table 16.2.
3. Find the original of the given transform. The values of the coefficients A, B, C, a, b, c are given in Table 16.3.

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