- #1

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f'(x) + ((1 -2x)/x^2)*y = 1. I started the problem and I was stuck at

y= (x^2)*e^(1/x) * integral (e^(-1/x))/(x^2) . I have no idea how to do this so if anyone knows how, it would be really appreciated.

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- Thread starter Cyannaca
- Start date

- #1

- 22

- 0

f'(x) + ((1 -2x)/x^2)*y = 1. I started the problem and I was stuck at

y= (x^2)*e^(1/x) * integral (e^(-1/x))/(x^2) . I have no idea how to do this so if anyone knows how, it would be really appreciated.

- #2

Hurkyl

Staff Emeritus

Science Advisor

Gold Member

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[tex]

\int \frac{e^{-1/x}}{x^2} \, dx

[/tex]

What techniques have you tried to apply?

- #3

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Try a substitution , realizing that (1/x²)dx = - d(1/x)

regards

marlon

regards

marlon

- #4

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- #5

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[tex]\int udv = uv - \int v du[/tex]

(ie--how to chose u).

Adios

Vivek

- #6

Zurtex

Science Advisor

Homework Helper

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[tex]e^{\frac{-1}{x}}[/tex]

is? I think that will solve your problem

Edit: Sorry, missed that you had solved it.

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