3. d²x dax dt d.x² +25x = 64e-t, x(0) = 1, x'(0) = -2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Solving Initial Value Problems. Solve the initial problems in Exercise
Group 6.2.6.1-8 using the Laplace transform.
y" - 2y' 3y = 3e2t, y(0) = 1, y' (0) = 0
2. yy' - 2y = 4x², y(0) = -1, y'(0) = 1
d²x
d.x²
3.
dx
-
- 6- +25x = 64e-t, x(0) = 1, x' (0) = -2
dt
Transcribed Image Text:Solving Initial Value Problems. Solve the initial problems in Exercise Group 6.2.6.1-8 using the Laplace transform. y" - 2y' 3y = 3e2t, y(0) = 1, y' (0) = 0 2. yy' - 2y = 4x², y(0) = -1, y'(0) = 1 d²x d.x² 3. dx - - 6- +25x = 64e-t, x(0) = 1, x' (0) = -2 dt
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