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1. Solve the differential equation, The boundary conditions are y(0) = 0; dx d²y dx² +1²y = 0 (1) = 0. Note that y = 0 is a trivial solution of the problem. Find the first two values of 2.

1. Solve the differential equation, The boundary conditions are y(0) = 0; dx d²y dx² +1²y = 0 (1) = 0. Note that y = 0 is a trivial solution of the problem. Find the first two values of 2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Solve the differential equation, The boundary conditions are y(0) = 0; dx d²y dx² The boundary conditions are y(0) = 0; +1²y = 0 (1) = 0. Note that y = 0 is a trivial solution of the problem. Find the first two values of 2. 2. Solve the differential equation d²y dy dx² dx - +2²y = 0 dy (1) = 0. dx Hint: Transform the problem using y(x) = W (x)ez. Find the first two values of 2.
Transcribed Image Text:1. Solve the differential equation, The boundary conditions are y(0) = 0; dx d²y dx² The boundary conditions are y(0) = 0; +1²y = 0 (1) = 0. Note that y = 0 is a trivial solution of the problem. Find the first two values of 2. 2. Solve the differential equation d²y dy dx² dx - +2²y = 0 dy (1) = 0. dx Hint: Transform the problem using y(x) = W (x)ez. Find the first two values of 2.
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