HELP First Order DE using Substitution Method

Thread starter danerape
Start date Feb 11, 2012
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First order Method Substitution Substitution method

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The discussion centers on solving a first-order differential equation using the substitution method. The original poster, Dane, is uncertain about their substitution choice and seeks clarification. Another participant suggests using the substitution v = y/x, which simplifies the equation by allowing separation of variables. This approach is recommended as it can lead to a more straightforward solution. The conversation highlights the importance of choosing the right substitution in differential equations.

Feb 11, 2012

danerape

I feel as if I have made the correct substitution, what am I missing? See Attachment.

Thanks,

Dane

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Feb 11, 2012

danerape

Any ideas at all?

Feb 11, 2012

Dick

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danerape said:

Any ideas at all?

v=y/x looks like a better bet to me. If you divide the numerator and denominator of the RHS by x you can express it completely in terms of v. Should be easy to separate.

Feb 11, 2012

danerape

Thanks,

Dane

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