Matematicas 5

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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.,

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2. [pic]
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[pic]=x
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y-[pic]
y=c[pic]+[pic]

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9.y’+[pic]
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[pic]Ejercicio 13
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[pic]+C
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Y=-Cx

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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

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-[pic]=x

2u=[pic]+2

Y=[pic]+2+2x

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1. (x-2)y´=3y(x-2)[pic]=3y

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Y=3(x-2)+c

2. (1-[pic])y´=y

(1-[pic]

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dy=[pic]

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ln y= ln[pic]

y=[pic]

3. y´´-y=0

My´´+cy+ky=0

[pic](r-1)(r-1)

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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

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r1-2[pic]

r1-2[pic]

r1-2[pic]...
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