Use the method of Laplace transforms to solve the given initial value problem. Here, D[x] and D[y] denote differentiation with respect to t. 11 D[X] +y 0 x(0) = 8 16x+ D[y] = 6 y(0) = 16 Click the icon to view information on Laplace transforms.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the method of Laplace transforms to solve the given initial value problem. Here, D[x] and D[y] denote differentiation with respect to t.
11
D[x] + y = 0
x(0) =
8
16x+ D[y] = 6
y(0) = 16
Click the icon to view information on Laplace transforms.
x(t) =
y(t) =
(Type exact answers in terms of e.)
Transcribed Image Text:Use the method of Laplace transforms to solve the given initial value problem. Here, D[x] and D[y] denote differentiation with respect to t. 11 D[x] + y = 0 x(0) = 8 16x+ D[y] = 6 y(0) = 16 Click the icon to view information on Laplace transforms. x(t) = y(t) = (Type exact answers in terms of e.)
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