y" + 7y+12y = 2let, y(0) = 3.5, y'(0) = -10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use Laplace transforms to solve the initial value problems
y"-6y + 5y = 29 cos 2t, y(0) = 3.2, y'(0) = 6.2
y" + 7y + 12y = 2let, y(0) = 3.5, y'(0) = -10
y" - 4y + 4y = 0, y(0) = 8.1, y'(0) = 3.9
x' = 2x + y, y = 6x + 3y; x(0) = 1, y(0) = -2
x'=x+2y, y'=x+e; x(0) = y(0) = 0
5
3-
Transcribed Image Text:1 Use Laplace transforms to solve the initial value problems y"-6y + 5y = 29 cos 2t, y(0) = 3.2, y'(0) = 6.2 y" + 7y + 12y = 2let, y(0) = 3.5, y'(0) = -10 y" - 4y + 4y = 0, y(0) = 8.1, y'(0) = 3.9 x' = 2x + y, y = 6x + 3y; x(0) = 1, y(0) = -2 x'=x+2y, y'=x+e; x(0) = y(0) = 0 5 3-
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