Question: 17. Consider the third-order ODE Dy] := > + a(a)y + b(x)y' + c(@)y = f(@). Make the substitution y = 1(x)u(x) into the latter

17. Consider the third-order ODE Dy] := >" + a(a)y" + b(x)y' + c(@)y = f(@). Make the substitution y = 1(x)u(x) into the latter ODE, where y, is not the constant function. The resulting ODE will have the form p(x)u" +q(x)u" + s(x)u' + t(oju = f(x), where p(x) q(x) = s(x) t(x)

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