I need some help with this problem please: solve by separation of variables. dydx=y(1-y^2) 1/(y(1-y^2)dy=dx How do I get it into y= form after taking the integral?
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Originally Posted by yellowrose I need some help with this problem please: solve by separation of variables. dydx=y(1-y^2) 1/(y(1-y^2)dy=dx How do I get it into y= form after taking the integral? y(1 - y^2) = y(1 - y)(1 + y), so you have a case for partial fraction decomposition: ........
Originally Posted by mr fantastic y(1 - y^2) = y(1 - y)(1 + y), so you have a case for partial fraction decomposition: ........ Could you tell me how I solve for A, B, and C? Thanks!
Originally Posted by yellowrose Could you tell me how I solve for A, B, and C? Thanks! multiply through by to get .......(1) then, plug in y = 0 into (1) and solve for A then, plug in y = 1 into (1) and solve for B then plug in y = -1 into (1) and solve for C
Easily integrable.
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