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Showing posts from October, 2020

BOUNDARY VALUE PROBLEM _ y^''+y=0, y(0)=0 and y(π/2)=2

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Consider the differential equation  Here, the boundary is defined as  The conditions are specified at extremes. Solution : From the boundary condition  Hence, From the boundary condition Imposing boundary conditions , we determine a unique solution  PDF COPY

Fourier integral representation of f(x) e^(-x) if x>0

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  sol: Fourier integral representation of                                substitute (2) in (1)           and Is the integral representation of f ( x ) verifying directly,                         NOTE : verifying indirectly ,                                              PDF COPY