Verify that any function of the form Y(t) = c1vi + czt* satisfies the equation t*Y"(t) – ĮtY"(t) + 2Y (t) = 0. Determine the solution of the equation with the boundary conditions Y(1) = 1, Y(4) = 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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Verify that any function of the form Y (t) = c1vt + czt* satisfies the equation
ty"(t) – ĮtY'(t) + 2Y (t) = 0.
Determine the solution of the equation with the boundary conditions
Y(1) = 1, Y(4) = 2.
Transcribed Image Text:Verify that any function of the form Y (t) = c1vt + czt* satisfies the equation ty"(t) – ĮtY'(t) + 2Y (t) = 0. Determine the solution of the equation with the boundary conditions Y(1) = 1, Y(4) = 2.
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