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anonymous
 one year ago
how to solve this ODE:
I will post it
anonymous
 one year ago
how to solve this ODE: I will post it

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ d ^{2} x }{ dt } = 32  \frac{ v^2 }{ 8 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I tried to solve it for v then for x, but it was very messy.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ d }{ dt }\left( \frac{ dx }{ dt } \right)=32\frac{ v^2 }{ 8 }\] \[\frac{ dv }{ dt }=\frac{ 256v^2 }{ 8 }\] \[\frac{ dv }{ 256v^2 }=8 dt\] \[\frac{ dv }{ \left( 16v \right)\left( 16+v \right) }=8 dt\] \[\left\{ \frac{ 1 }{\left( 16v \right)\left( 16+16 \right) } +\frac{ 1 }{ \left( 16+16 \right)\left( v+16 \right) }\right\} dv=8dt\] can you solve further?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0of course you don't need to make partial fraction as you can sub.with sin theta and you will get ln(sec+tan) +k and then integrate which that!! my text didn't discuss DE at all just basic integral, but he gave that equation and said after 1 minute it will hit the ground, so find height??(ans 555) I am puzzled about what is his simple way to deal with that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0when t=1 sec. when it touches the ground v=0 find the value of constant then again integrate to find x when t=1 x (height)=0 find value of constant.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry 1 min. just take t=1

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1@Catch.me why don't you just scan or link the actual question? the DE is not the problem, it is quite straightforward. sight of the question and the IV's would be interesting. @phi

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1and, as a complement to @surjithayer 's excellent input: \[\ddot x = \frac{dv}{dt} = \ v \frac{dv}{dx}\] :p

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0V final can't be zero as it is a different scenario. I solved it, but 60 in expm. worries me. any way thanks guys
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