y"(x)+a*x^2*y'(x)+b*z(x)-c*y(x)=y'(t),

z"(x)+a*x^2*z'(x)+b*z(x)-c*y(x)=z'(t),

y(0)=0, y'(0)+z'(0)=0,

y(infinity)=1, t=0, z(infinity)=k

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