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Author Topic: Calling all Mathematics Experts. Please help.  (Read 3074 times)
Kiks
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« on: May 29, 2009, 08:09:45 AM »

Patulong naman po sa solutions.
Salamat.



Elementary Differential EquationsSeventh Edition

Earl D. Rainville
Phillip E. Bedient


The Elimination of Arbitrary Constants

Question   : y = x^2 +c1e^2x +c2e^3x
Answers   : y’’ -5y’ +6y = 6x^2 –10x +2

Question   : y = c1x^2 + c2e^-x
Answers   : x(x + 2)y’’ + (x^2 – 2)y’ – 2(x + 1)y = 0


Families of Curves

Question   : Circles tangent to the x-axis.
Answers   : [ 1 + (y’)^2 ] ^3 = [ y y’’ + 1 + (y’)^2 ] ^2

Question   : All Circles. Use the curvature.
Answers   : y’’’ [ 1 + (y’)^2 ] = 3y’(y’’)^2

Question   : Parabolas with axis parallel to the x-axis and with distance from vertex to focus fixed as a.
Answers   : 2ay’’ +(y’) = 0
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« on: May 29, 2009, 08:09:45 AM »

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alyas
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« Reply #1 on: May 29, 2009, 08:29:15 AM »

sensya na ha di ko kasi magets  .... ano ang difference ng y sa y' at y''' ?? ang y' ba eh y squared at y'' eh y cube Huh
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zer0w1ng
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« Reply #2 on: May 29, 2009, 08:47:53 AM »

I'll answer #1 to exercise my Latex skills. Wink










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alyas
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« Reply #3 on: May 29, 2009, 09:10:33 AM »

hehehehehe di ko na matandaan yan .... absent siguro ako nung tinuru yan buti na lang andyan si master zerowing.

Gagamitan ko sana ng microsoft math yan kaso di ko maintindihan yung equation.
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zer0w1ng
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« Reply #4 on: May 29, 2009, 09:15:22 AM »

Fresh pa sa aking ang differential equations. Wink
Bago pa lang akong gumadruate. Grin
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marcelino
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« Reply #5 on: May 29, 2009, 09:44:31 AM »

Fresh pa sa aking ang differential equations. Wink
Bago pa lang akong gumadruate. Grin


Buti ka pa sir zero... dali kong malimutan ang math. nagsasour-grape nalang ako... sabi ko at least alam ko kung saan na libro ko hahanapin. hehehe Grin
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« Reply #6 on: May 29, 2009, 11:22:40 AM »

#2. Medyo mahirap to ng konti. Smiley

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Kiks
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« Reply #7 on: May 29, 2009, 11:30:20 AM »

Sir/Ma'am zer0w1ng,
Galing!!!
Salamat po. Pwede patulong po ulit.
Kinukuha ko po kasi ito ngayon. Salamat po.
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7_SeVeN_7
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« Reply #8 on: May 29, 2009, 11:38:23 AM »

the best talaga yang si Ma'am zer0w1ng Grin
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zer0w1ng
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« Reply #9 on: May 29, 2009, 11:42:14 AM »

Sir/Ma'am zer0w1ng,
Lalake ako. Hindi Ma'am. Grin

Quote
Salamat po. Pwede patulong po ulit.

You're welcome. Sure, but you should also learn to solve these problems yourself.
Else, during exams you cannot ask help anymore.
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« Reply #10 on: May 29, 2009, 11:59:08 AM »

sensya na ha di ko kasi magets  .... ano ang difference ng y sa y' at y''' ?? ang y' ba eh y squared at y'' eh y cube Huh

yung y ata is differential 1st order,yung y'' second order differential naman at y''' third order sa pagkakatanda ko tagal na kasi.yung elimination of arbitrary constants ay i tatransfer mo sa differential equations na wala ng +C(constant) dahil sa integration nagkakaroon ng constant,kaya itatranslate sa differential equation para maging simplified para magkaroon lang ng general differential equation.
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alyas
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« Reply #11 on: May 29, 2009, 12:04:14 PM »

^ ayun nadale mo ... naalala ko na  ....   calculus pala ito    Grin Cheesy  tama ba? Huh 
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Kiks
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« Reply #12 on: May 29, 2009, 12:45:57 PM »

y' stands for y prime (first derivative)
y'' stands for y prime prime (second derivative)
y''' stands for y prime prime prime (third derivative)

Sa lahat po, maraming Salamat.
Kakailanganin ko tulong nyo sa susunod.

Love you all.
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« Reply #13 on: May 29, 2009, 04:49:11 PM »

puro substitutions lang cya basta makuha mo yung mga derivatives ng bawat isa. 
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« Reply #14 on: May 29, 2009, 09:14:29 PM »

...
Families of Curves
Question   : Circles tangent to the x-axis.
Answers   : [ 1 + (y’)^2 ] ^3 = [ y y’’ + 1 + (y’)^2 ] ^2
...

  buti na lang may MathCAD, madaling mag-substitute.. Cheesy hehe

given a circle having center located at coordinates (h,k),
using the general equation of a circle (x-h)2+(y-k)2=r2; where r is the radius

http://i40.tinypic.com/oiaqs3.jpg
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Kiks
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« Reply #15 on: May 30, 2009, 12:24:05 PM »

Hi Yus,
Pwede mo rin ba akong tulugan sa MathCad.
Panu un. San ko madadownload un.

To all Mathematics Experts/Sir zer0w1ng,
Ok lang ba na magpost po ako ng mga problem with answer, gagawan na lang ng solutions.
Maraming Salamat.

Sir Zer0w1ng/Yus,
Two thumbs up.

Regards.

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'yus
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« Reply #16 on: May 30, 2009, 01:44:31 PM »

..
Pwede mo rin ba akong tulugan sa MathCad.
....
ay pasensya na po, kagigising ko lang.. hehe.. Cheesy

"search" ka na lang po sa google.. Mathcad 14 ang gamit ko ngayon.. Smiley
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zer0w1ng
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« Reply #17 on: May 30, 2009, 02:54:48 PM »

To all Mathematics Experts/Sir zer0w1ng,
Ok lang ba na magpost po ako ng mga problem with answer, gagawan na lang ng solutions.
Maraming Salamat.

Pwede. Nandiyan naman palagi si sis yus. Grin
I can only answer them if I have time to spare.
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« Reply #18 on: May 30, 2009, 04:22:26 PM »

saan ba makakakuha ng basag na mathcad?? nawawala installer ko niyan Grin Grin
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ece.lourence
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« Reply #19 on: December 19, 2009, 05:59:48 PM »

alam nyo kung saan makikita answer sheet ng librong eto.
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