Often a differential equation with variable coefficients, y" + p(t)y' + q(t)y = 0 (i), can be transformed into an equation with constant coefficients by a change of the independent variable. Let = u(t) = /(ate)"*dt, with q(t) > 0, be the new independent variable. If the function d (t) + 2p(t)q(t) 2(q(t))3/2 H = is a constant, then (i) can be transformed into an equation with constant coefficients by a change of the independent variable. Consider the differential equation y" + 4ty' + t'y = 0. Calculate H using the formula above, and then determine whether it is possible to transform the differential equation into one with constant coefficients using this method. H. Choose one -

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