Solving a Separable Differential Equation, Another Example #3

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all of my classmate are watching your videos before our examination ! keep up the good work you are helping many people especially students :D

ararbantol
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You can use the quadratic formula. We call it PQ-formeln in swedish.

martinnolin
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I love differential equation this is real cool stuff

Agustinoism
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iam math teacher i like your explanation it is highly apreciated One thank you teacher

imaanmohamed
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Why don't you use "u" substitution to solve for y where u=y-1 and du=dy, u^2/2 = SinX + C, (y-1)^2 = 2SinX + C, then y = (2SinX + C)^1/2 + 1

MrPresidentialSwaggr
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Solution for y, y= 1+sqrt(1+2sin(x)+c)

ModernGameChangers
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since we didnt really solve for y, but we have all the y's on one side of the qual side, is it still an explicit solution?

joshua.guevara
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What happens if you choose to leave -cosx on the other side? You don't get the -y term on the left. Is it still the same result?

tusharbhatia
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How to find out the equation is seperable or linear. I mean, all equations like each other. I know how to solve them but i dont know what equation is what:)

fdyonur
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Solution for y, y= 1 + sqrt(1-2sin(x)+2c)
                      y= 1 - sqrt(1-2sin(x)+2c)

harunjib
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Sorry, but is the anti- derivative, integrating? :)

Sheepshearer