Algebra - find f(x)

3

msp ·2009-01-27 09:28:09

I THOT DAT SOMETHING IS MISSING PLEASE REPLY

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Aneesh Gupta ·2009-01-27 09:38:45

is it infinite?

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33

Abhishek Priyam ·2009-01-28 03:54:14

first order diff eqn naa...

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Abhishek Priyam ·2009-01-28 03:57:49

dy/dx-y=2e^x

d(e^xy)/dx=2e^2x

e^xy=e^2x+c

f(0)=0..

e⁰(o)=e^2*0+c
c=-1

therefore f(x)=e^2x-1
e^x

Now...

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33

Abhishek Priyam ·2009-01-28 04:00:17

Area is infinite...

:)

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msp ·2009-01-28 05:05:31

yes abhi i have also got the same eqn .tx for ur reply da

i asked only to confirm

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msp ·2009-01-28 05:12:04

sry da if u find waste of time

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Abhishek Priyam ·2009-01-28 05:15:19

no problemo..... :)

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pankaj sachan ·2009-01-28 06:29:02

area between f(x) and -ve x axix will be finite and equal to 1

y = 2xe^x

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msp ·2009-01-28 06:34:24

how did u got the function sir can u give me the soln

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pankaj sachan ·2009-01-28 06:39:15

f'(x) = f(x) + 2e^x

f'(x) - f(x) = 2e^x

f'(x)e^-x - f(x)e^-x = 2

d/dx(f(x)e^-x) = 2

rest is simple

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msp ·2009-01-28 06:40:52

tx sir

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