Analytical and Numerical solution of a Boundary Value Problem

Introduction to the problem t 2 x ′ ′ ( t ) + 3 t x ′ ( t ) + x ( t ) = t ( t > 1 ) t^2x{''}(t)+3tx{'}(t)+x(t) = t \qquad (t>1) t2x′′(t)+3tx′(t)+x(t)=t(t>1) Initial condition: x ( 1 ) = 0 , x ′ ( 1 )

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