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Use separation of variables to solve differential equation: dy/dt=t/((y+1)^1/2)), y(1)=3 ???
 one year ago
 one year ago
S Group Title
Use separation of variables to solve differential equation: dy/dt=t/((y+1)^1/2)), y(1)=3 ???
 one year ago
 one year ago

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dumbcow Group TitleBest ResponseYou've already chosen the best response.0
use algebra to get "t" terms with dt on one side, and "y" terms with dy on other side you might try crossmultiplying here
 one year ago

S Group TitleBest ResponseYou've already chosen the best response.0
thanks, I know that step, right now I am stuck with interval part
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
interval integral?
 one year ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.0
oh ok, you didn't say so i thought i'd start from beginning :) im guessing the sqrt(y+1) part
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
if you can't do the 'y' part in your head... use u=y+1 du =dy \[{ \int\limits_{}^{}} \sqrt{u} du =?\]
 one year ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.0
sqrt is 1/2 power ... just use power rule
 one year ago

S Group TitleBest ResponseYou've already chosen the best response.0
so I get 1/2(y+1)^1/2=t^2/2 ?
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
\[\int\limits_{ }^{ } x ^{n} = \frac{ 1 }{ n+1 } * x ^{n+1}\]
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
n here = 1/2
 one year ago

S Group TitleBest ResponseYou've already chosen the best response.0
i got 2/3(Y+1)^3/2=t^2/2, right?
 one year ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.0
yes ... but don't forget constant "+C" on right side
 one year ago
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