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How to solve a Bernoulli Equation using Differential Equations Made Easy with the TI 89 | TI89 - BLOG | 2021 # How to solve a Bernoulli Equation using Differential Equations Made Easy with the TI 89

To solve x*(dy/dx) + y = 1/y^2 there are several options to do so.

F1 G : Bernoulli or F1 A : Linear in y or F1 D: N*y’+M=0 , try them all to get the same
solution in different ways.

To use the F1 G : Bernoulli , first rewrite x*(dy/dx) + y = 1/y^2
as (dy/dx) + y/x = 1/x * 1/y^2
Thus enter P=1/x and Q=1/x and n=-2

Press ENTER many times to observe how the proper substitution and integrating factor is found :     ### One Response to How to solve a Bernoulli Equation using Differential Equations Made Easy with the TI 89

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Differential Equations.
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