Matematicas 5
Páginas: 2 (465 palabras)
Publicado: 30 de noviembre de 2011
Instituto Tecnológico de San Juan del Río
“MANUAL DE EVIDENCIAS”.
MATEMATICAS V
ING. LUCINO LUMBRERAS
P RE S E N T A:
San Juan del Río, Qro.,
1. [pic]
[pic]=[pic]
[pic]=[pic][pic]
[pic]
2. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]=x
[pic]
[pic]
y-[pic]
y=c[pic]+[pic]
3. [pic]
[pic]
[pic]
[pic]
[pic]
4. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
5.[pic]
[pic]
[pic]
[pic]
6. [pic]
[pic]
[pic]
[pic]
[pic]
7. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
8. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
9.y’+[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
10. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
11. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
12. [pic]
[pic]
[pic]
[pic]
[pic]Ejercicio 13
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
14. [pic]
[pic]
[pic]
[pic]
[pic]+C
[pic]
Y=-Cx
15. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
1. [pic]
[pic][pic] [pic]
[pic]
[pic]
[pic]
[pic]
2. [pic]
[pic]
[pic] [pic]
[pic]
[pic]
[pic]
3. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
4. [pic]5. y’=[pic]
y’=[pic]
u’+1=[pic]
u’=[pic]
u’=[pic]
[pic]=[pic]
[pic]du = dx
[pic]
U+5=-[pic]
y-x=[pic]
y=[pic]
6. y’=[pic] u=y+2x u’-2x=yy’=[pic]
2-u’=[pic]
u’=[pic]-2
[pic]
[pic]
-[pic]=x
2u=[pic]+2
Y=[pic]+2+2x
7. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
1. (x-2)y´=3y(x-2)[pic]=3y
[pic]=[pic]
[pic]
[pic]
[pic]
Y=3(x-2)+c
2. (1-[pic])y´=y
(1-[pic]
[pic]
dy=[pic]
[pic]
ln y= ln[pic]
y=[pic]
3. y´´-y=0
My´´+cy+ky=0
[pic](r-1)(r-1)
[pic]
[pic]
por lo que:
r1=1; r2=-1
r1 ≠r2
y1=B1[pic]; y2=B2[pic]
y=B1[pic]+B2[pic]
y= B1[pic]+B2[pic]
4. y´´+4y=0
[pic]
r1-2[pic]
r1-2[pic]
r1-2[pic]...
“MANUAL DE EVIDENCIAS”.
MATEMATICAS V
ING. LUCINO LUMBRERAS
P RE S E N T A:
San Juan del Río, Qro.,
1. [pic]
[pic]=[pic]
[pic]=[pic][pic]
[pic]
2. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]=x
[pic]
[pic]
y-[pic]
y=c[pic]+[pic]
3. [pic]
[pic]
[pic]
[pic]
[pic]
4. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
5.[pic]
[pic]
[pic]
[pic]
6. [pic]
[pic]
[pic]
[pic]
[pic]
7. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
8. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
9.y’+[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
10. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
11. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
12. [pic]
[pic]
[pic]
[pic]
[pic]Ejercicio 13
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
14. [pic]
[pic]
[pic]
[pic]
[pic]+C
[pic]
Y=-Cx
15. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
1. [pic]
[pic][pic] [pic]
[pic]
[pic]
[pic]
[pic]
2. [pic]
[pic]
[pic] [pic]
[pic]
[pic]
[pic]
3. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
4. [pic]5. y’=[pic]
y’=[pic]
u’+1=[pic]
u’=[pic]
u’=[pic]
[pic]=[pic]
[pic]du = dx
[pic]
U+5=-[pic]
y-x=[pic]
y=[pic]
6. y’=[pic] u=y+2x u’-2x=yy’=[pic]
2-u’=[pic]
u’=[pic]-2
[pic]
[pic]
-[pic]=x
2u=[pic]+2
Y=[pic]+2+2x
7. [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
1. (x-2)y´=3y(x-2)[pic]=3y
[pic]=[pic]
[pic]
[pic]
[pic]
Y=3(x-2)+c
2. (1-[pic])y´=y
(1-[pic]
[pic]
dy=[pic]
[pic]
ln y= ln[pic]
y=[pic]
3. y´´-y=0
My´´+cy+ky=0
[pic](r-1)(r-1)
[pic]
[pic]
por lo que:
r1=1; r2=-1
r1 ≠r2
y1=B1[pic]; y2=B2[pic]
y=B1[pic]+B2[pic]
y= B1[pic]+B2[pic]
4. y´´+4y=0
[pic]
r1-2[pic]
r1-2[pic]
r1-2[pic]...
Leer documento completo
Regístrate para leer el documento completo.