- #1

sara_87

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## Homework Statement

i want to find the solution to:

dv/dx + 1/200 = 32/v

## Homework Equations

## The Attempt at a Solution

I don't know how to begin. what would be my first step?

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- Thread starter sara_87
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- #1

sara_87

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i want to find the solution to:

dv/dx + 1/200 = 32/v

I don't know how to begin. what would be my first step?

- #2

Hootenanny

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Can you identify which type of ODE it is? I.e. homogeneous/inhomogeneous, linear/non-linear etc.

- #3

sara_87

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first order, linear

isn't it?

isn't it?

- #4

Hootenanny

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It is indeed, so which method does one usually use for solving first order, linear ODE's?first order, linear

isn't it?

- #5

sara_87

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do multiply everything by v? or can we use the coefficient of v^(-1) to find the integrating factor?

- #6

Hootenanny

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I would multiply it be v first, which puts the ODE into canonical form, and then find the IF.do multiply everything by v?

- #7

sara_87

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because when i did i got:

[ve^(x/200)]dv/dx + (v/200)e^(x/200) = 32e^(x/200)

i don't think that's right

- #8

Hootenanny

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[tex]\frac{dv}{dx}=f(v)[/tex]

Sorry about that, I had a stupid moment :uhh:

- #9

sara_87

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its ok i always have stupid moments.

Thank you very much u've been much help.

Thank you very much u've been much help.

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