7. Use the method of Laplace transform to solve the initial value problem y" – (a + B)y' + aBy = (a – 7)(B-7)et, y(0) = 1+ a +b, %3D y(0) = aa + bB+y.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let a + 0, b + 0, c # 0, a # 0, B#0 and y # 0 represent any real nonzero constants,
such that c > 0, a # B, a y and B # y. Let m >1 represent any positive integer.
Transcribed Image Text:Let a + 0, b + 0, c # 0, a # 0, B#0 and y # 0 represent any real nonzero constants, such that c > 0, a # B, a y and B # y. Let m >1 represent any positive integer.
7. Use the method of Laplace transform to solve the initial value problem
y" – (a + B)y' + aßy = (a – 7)(B –)e",
y(0) = 1+ a +b,
-
y(0) = aa + bB+y.
Transcribed Image Text:7. Use the method of Laplace transform to solve the initial value problem y" – (a + B)y' + aßy = (a – 7)(B –)e", y(0) = 1+ a +b, - y(0) = aa + bB+y.
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