Differential Equation second degree help

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Homework Help Overview

The discussion revolves around solving a second-degree differential equation, specifically the equation dy/dx = y^2 + 1. Participants are exploring methods to approach this type of problem.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to begin solving the differential equation, indicating a lack of prior experience with second-degree differential equations. Some participants suggest a method involving division and integration, while others note the importance of remembering specific derivatives related to inverse trigonometric functions.

Discussion Status

The discussion shows a progression from confusion to clarity, with participants providing guidance on how to approach the problem. There is an acknowledgment of the original poster's improvement in understanding, but no explicit consensus on the best method has been reached.

Contextual Notes

The original poster mentions a lack of experience with this type of differential equation, which may influence their approach and understanding. There is also a reference to the need to remember certain derivatives, suggesting that prior knowledge may be a factor in the discussion.

kristo
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Homework Statement


\frac{dy}{dx}= y^2 + 1


Homework Equations





The Attempt at a Solution


I have no idea how to go about it. I've never solved a differential equation of second degree before.
 
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It may look scary, but it really isn't. Just divide both sides by (y2+1) then multiply both sides by dx. It's integrable from there.
 
Thanks a lot, I got it now. I keep forgetting the inverse trig derivatives.
 
No problem at all.
 

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