M2 Differential Equations - Help
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#2
(Original post by Shadez)
Hey
I can do part a however I'm not sure if my answer to part b is right could someone check for me I got
Hey
I can do part a however I'm not sure if my answer to part b is right could someone check for me I got

Most people are relactunt to check simply because they will have to do the question themselves. (imagine someone is on a bus and could help but has no pen and paper ...)
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(Original post by TeeEm)
You will have better response if you post your workings.
Most people are relactunt to check simply because they will have to do the question themselves. (imagine someone is on a bus and could help but has no pen and paper ...)
You will have better response if you post your workings.
Most people are relactunt to check simply because they will have to do the question themselves. (imagine someone is on a bus and could help but has no pen and paper ...)

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#4
1/(50-v) integrates to -ln|50-v|
also after separation it should be 1/25 dt not 25 dt
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(Original post by TeeEm)
retry please
1/(50-v) integrates to -ln|50-v|
also after separation it should be 1/25 dt not 25 dt
retry please
1/(50-v) integrates to -ln|50-v|
also after separation it should be 1/25 dt not 25 dt

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#7
(Original post by Shadez)
Hey
I can do part a however I'm not sure if my answer to part b is right could someone check for me I got

Edit: I've attached my working out below
Hey
I can do part a however I'm not sure if my answer to part b is right could someone check for me I got

Edit: I've attached my working out below
1/(50-v)dv = 1/25dt
Integrate:
-ln|50-v| = t/25 + c
t=0 v=0
-ln|50| = c
ln|50| - ln|50-v| = 25t
50/(50-v) = et/25
50/et/25 = 50-v
Now you've rearranged and integrated, solve for v

Hope this helps

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(Original post by HenryHiddler)
(50-v)/25 = dv/dt
1/(50-v)dv = 1/25dt
Integrate:
-ln|50-v| = t/25 + c
t=0 v=0
-ln|50| = c
ln|50| - ln|50-v| = 25t
50/(50-v) = et/25
50/et/25 = 50-v
Therefore,
v = 50 - 50/et/25
Hope this helps
(50-v)/25 = dv/dt
1/(50-v)dv = 1/25dt
Integrate:
-ln|50-v| = t/25 + c
t=0 v=0
-ln|50| = c
ln|50| - ln|50-v| = 25t
50/(50-v) = et/25
50/et/25 = 50-v
Therefore,
v = 50 - 50/et/25
Hope this helps



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#11
(Original post by Shadez)
I've solved it
thanks for your reply though maybe you can help me with the next one as I'm sure there will be many to follow
I've solved it


Hope this helps

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#12
(Original post by HenryHiddler)
Sure, happy to help a fellow M2 buddy :3 PM me if you want
Hope this helps
Sure, happy to help a fellow M2 buddy :3 PM me if you want
Hope this helps

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#13
(Original post by Muttley79)
Please don't post full solutions, it is not allowed.
Please don't post full solutions, it is not allowed.

Hope this helps

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