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anonymous
 one year ago
hi guys, quick question, im busy with differential equations. My question is, if i have dx/dt=2x/t, how could i manipulate this equation so that i get 2x, thats in the numerator, across the equal sign. i need to have x one side and t on the opposite side. Silly question but a little help would be much appreciated. BIG THANKS IN ADVANCE:D
anonymous
 one year ago
hi guys, quick question, im busy with differential equations. My question is, if i have dx/dt=2x/t, how could i manipulate this equation so that i get 2x, thats in the numerator, across the equal sign. i need to have x one side and t on the opposite side. Silly question but a little help would be much appreciated. BIG THANKS IN ADVANCE:D

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its a diffrential equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0tr to move all like terms to one side

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so you will have t/dt=2x/dx

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lol thanks, i got that much yes. my problem is, its a little algebra problem, how do i get something out the numerator. like if it were in the denominator, i'd multiply both sides by what ever is in the denominator. here the variable sits in the numerator??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OOOh okay cool. thanks so much;)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now you can take the integral of both sides

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439920322980:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1hint: if we make the separation of variable, we can write: \[\Large \frac{{dx}}{x} = 2\frac{{dt}}{t}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0LOL YES DEFINITELY!! quick question, how would i do that? I'm new to this site lol

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1please, in order to integrate that ODE, we can use this identity: \[\Large \int {\frac{{d\xi }}{\xi }} = \ln \xi + C,\quad C \in \mathbb{R}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1providing that x>0 and t>0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry about that @michele_laino, the last message i sent was meant for an earlier post. but thanks so much :D

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0tell me quickly, before i go, the, there are like 3 different answers here?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1I'm sorry I can not give the answer directly, since it is against the Code of Conduct

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0There are no different answers, @Michele_Laino is just telling you a formula for your question your job is as simple as \[\frac{1}{2}\int\limits \frac{dx}{x}=\int\limits \frac{dt}{t}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0don't forget the constant of integration

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh okay sorry about that. thanks again:)
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