DHS 16.2 - Option 17. Decisions Ryabushko AP

DHS 16.2 - Option 17. Decisions Ryabushko AP

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1. Solve a linear differential equation using the operator method
αẍ + βẋ + γx = f(t), x(t0) = A, ẋ(t0) = B
The function f(t) and values of coefficients α, β, γ, t0, x(t0), ẋ(t0) are taken from the table. 16.4
1.17. α = 1, β = 2, γ = 1, f(t) = 2e1−t, t0 = 1, x(t0) = 1, ẋ(t0) = −1
1.17. ẍ + 2ẋ + x = 2e1−t, x(1) = 1, ẋ(1) = −1

2. Solve the system of linear differential equations by the operator method
Table of functions f1(t), f2(t) and values ak, bk, ck, dk (k=1, 2), A, B, x(0), y(0). 16.5
2.17. a1 = 1, b1 = 0, c1 = 5, d1 = 2, f1(t) = 0, a2 = 0, b2 = 1, c2 = −1, d2 = 7, f2(t) = 0, x(0 ) = 1, y(0) = 1

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  • Added to the site 01.05.2024
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent

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DHS 16.2 - Option 17. Decisions Ryabushko AP
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