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 :

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One Response to “How to solve a Bernoulli Equation using Differential Equations Made Easy with the TI 89”

  1. Princeton University Says:

    It’s surprising to find on ti89.com a resource so precious about
    Differential Equations.
    At Princeton, we will note your page as a benchmark for How to step by step solve a Bernoulli Equation using Differential Equations Made Easy with the TI 89 .

    Thank you!

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