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solving differential equations with variable coeficient

solve the following differential [login to view URL] singular points and classify each point as regular or irregular,Use frobenius.

x^2 (x-5)^2 y"+4xy'+(x^2-25)y=0

find the general solution given that 0 < x < ∞

d/dx(xy')+(x-4/x)y=0

Use Bessel and or legendre

For both, show very detailed steps

Квалификация: Электротехника, Техника, Математика, Matlab and Mathematica, Физика

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