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bigger
Joined: 06 Jan 2007
Posts: 7
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 Posted: January 6, 2007 6:54 PM Post subject: Two equations.... |
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Any help on these equations would be apreciated. Any program out there that solves them?
Solve:
y’ = (-2) / (x^2 y) with condition y(0)= -1
and
(1/4)yt – yt-1 = -9 with condition y0 = 10
The “t” is in “subscript” i.e. it is lower than the y in the line. |
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baseballdude_
Joined: 20 Sep 2006
Posts: 76
Location: Wisconsin
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| Posted: January 6, 2007 11:38 PM Post subject: Re: Two equations.... |
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| bigger wrote: | Any help on these equations would be apreciated. Any program out there that solves them?
Solve:
y’ = (-2) / (x^2 y) with condition y(0)= -1
and
(1/4)yt – yt-1 = -9 with condition y0 = 10
The “t” is in “subscript” i.e. it is lower than the y in the line. |
These are initial value problems.
First integrate the equation. Make sure to add + C to the end of it. Then plug in your x and y values and solve for C. Rewrite your equation with your exact C value.
The second equation I'm a bit confused about. You can just solve for yt...the initial condition isn't even needed.
If you need further help, just post. |
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bigger
Joined: 06 Jan 2007
Posts: 7
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| Posted: January 7, 2007 12:15 PM Post subject: |
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Thanks a lot. Got me on my way.
Any suggestion for the following:
y1’ = 3y1-2y2-8 y1(0)=4
y2’ = 6y1-5y2-2 y2(0)=-2
(Yes – I am cramming for an exam....) |
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