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Sage: var('x') Sage: y=function('y',x) Sage: a1=[y,e^x,x*e^x] Sage: a2=[diff(a1[0],x),diff(a1[1],x),diff(a1[2],x)] Sage: a3=[diff(a2[0],x),diff(a2[1],x),diff(a2[2],x)] Sage: m=matrix([a1,a2, a3]) Sage: r=m.determinant() Sage: desolve(r.expand()==0,y) Resolucion de la ecuacion lineal homogenea obtenida con Sagemath (k2*x + k1)*e^x
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