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Now solve the ordinary differential equation (ODE) boundary value problem: v"(y) – X²v(y) = 8(y – &y), 0< §, < 2 v(0) = v(2) = 0, where A is a constant and ' denotes differentiation with respect to y. Simplify your answer as far as possible. Hint: It will be helpful to write down the solution of the ODE in terms of hyperbolic functions.

Now solve the ordinary differential equation (ODE) boundary value problem: v"(y) – X²v(y) = 8(y – &y), 0< §, < 2 v(0) = v(2) = 0, where A is a constant and ' denotes differentiation with respect to y. Simplify your answer as far as possible. Hint: It will be helpful to write down the solution of the ODE in terms of hyperbolic functions.

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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Now solve the ordinary differential equation (ODE) boundary value problem: v"(y) – X²v(y) = 8(y – &y), 0< §, < 2, v(0) = v(2) = 0, where A is a constant and ' denotes differentiation with respect to y. Simplify your answer as far as possible. Hint: It will be helpful to write down the solution of the ODE in terms of hyperbolic functions.
Transcribed Image Text:Now solve the ordinary differential equation (ODE) boundary value problem: v"(y) – X²v(y) = 8(y – &y), 0< §, < 2, v(0) = v(2) = 0, where A is a constant and ' denotes differentiation with respect to y. Simplify your answer as far as possible. Hint: It will be helpful to write down the solution of the ODE in terms of hyperbolic functions.
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