hird-order Euler equation is one of the form ax y"" + bxʻy" + cxy' + ky = 0, where a, b, c, and k are constant n the substitution v= In x transforms the equation into the constant coefficient linear equation below, with inc iable v. d°y + (b- За) dv d?y + (с-b+ 2a) dv? dy + ky = 0 a- ke the substitution v = In x to find the general solution of x°y'"' + 9x0.

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