Consider the 2nd order ODE: d y + ну %3D 0, хE (0, L] х€ [0, L] dx2 where, M, is a constant. The boundary conditions are as follows: y(x = 0) = 0, y(x = L) = 0 Determine all values of u for which the above ODE has non-zero solution. Note: The following definitions can be used for this question: ex - e-* ex + e-* sinh x = cosh x =

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.