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<div>El problema que abordamos es encontrar la familia de curvas ortogonales a la familia de rectas que pasan por el punto <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mi»#a«/mi»«mo»,«/mo»«mi»#b«/mi»«/mrow»«/mfenced»«/math»</span>.</div> <div>Así nos queda la ecuación diferencial <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»d«/mi»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»x«/mi»«/mrow»«/mfrac»«mo»=«/mo»«/math»</span>{1:SA:=#c} que es una ecuación diferencial {1:MC: Homogénea~=Variables separables~Lineal}.</div> <div>Así la solución es {1:SA:=#d}<span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»=«/mo»«msup»«mi»k«/mi»«mn»2«/mn»«/msup»«/math»</span> que es una {1:MC: Elipse~=Circunferencia~Hipérbola~Recta}</div>
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Thursday, 10 December 2015, 10:53 AM
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