ECUACION DE BERNOULLI  (REDUCCION A LINEAL)

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SEGUNDO METODO
[Graphics:Images/index_gr_3.gif]+[Graphics:Images/index_gr_4.gif]=3[Graphics:Images/index_gr_5.gif][Graphics:Images/index_gr_6.gif]          donde P=[Graphics:Images/index_gr_7.gif]    Q=3[Graphics:Images/index_gr_8.gif]

[Graphics:Images/index_gr_9.gif]=[Graphics:Images/index_gr_10.gif]=x   es el factor de integración

haciendo la sustitución   v=yx    donde y=v[Graphics:Images/index_gr_11.gif]      dy=-[Graphics:Images/index_gr_12.gif]vdx+[Graphics:Images/index_gr_13.gif]dv

dy+[Graphics:Images/index_gr_14.gif]=3[Graphics:Images/index_gr_15.gif][Graphics:Images/index_gr_16.gif]dx        sustituyendo
-[Graphics:Images/index_gr_17.gif]vdx+[Graphics:Images/index_gr_18.gif]dv + [Graphics:Images/index_gr_19.gif]=3[Graphics:Images/index_gr_20.gif][Graphics:Images/index_gr_21.gif][Graphics:Images/index_gr_22.gif]dx
-[Graphics:Images/index_gr_23.gif]vdx+[Graphics:Images/index_gr_24.gif]dv + v[Graphics:Images/index_gr_25.gif]dx=3[Graphics:Images/index_gr_26.gif]dx         simplificando

[Graphics:Images/index_gr_27.gif]dv=3[Graphics:Images/index_gr_28.gif]dx        separando variables

[Graphics:Images/index_gr_29.gif]=[Graphics:Images/index_gr_30.gif]     integrando    [Graphics:Images/index_gr_31.gif]=3[Graphics:Images/index_gr_32.gif]

-[Graphics:Images/index_gr_33.gif]=[Graphics:Images/index_gr_34.gif]+C           como   v= yx      -[Graphics:Images/index_gr_35.gif]=[Graphics:Images/index_gr_36.gif]+C
-[Graphics:Images/index_gr_37.gif]=[Graphics:Images/index_gr_38.gif]+Cx


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