By using the substitution x = exp(t) , determine the eigenvalues λ of the boundary value problem?
(2x^2)* (d^2y/dx^2) + 6x*(dy/dx) + (λ^2)*y
with y=0 at x=1 and x=exp(2)
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(2x^2)* (d^2y/dx^2) + 6x*(dy/dx) + (λ^2)*y
with y=0 at x=1 and x=exp(2)
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hint : dy / dx = [ dy / dt] / [ dx / dt] = e^(-t) dy/dt
d²y / dx² = { d [ e^(-t) ( dy/dt) ] / dt } [ dx/dt ]..use the product rule on { d [........] } / dt