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Graduate Question about a Riccati type diff eq.
Now it's all clear. Thank you very much.- kenano
- Post #5
- Forum: Differential Equations
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Graduate Question about a Riccati type diff eq.
Thank you for your answer Jacquelin. I still have some questions. -We have two constants in the solution to a first order equation because of the intermediate second order diff eq. But the original eq is a first order one. Then how could the second constant be determined in a boundary value...- kenano
- Post #3
- Forum: Differential Equations
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Graduate Question about a Riccati type diff eq.
\acute{y} = \frac{1}{t^{2}} -\frac{y}{t} - y^{2} To solve a Riccati type diff eq a particular solution is needed. In our case it is: y_{1} = -\frac{1}{t} By setting y= y_{1}+\frac{1}{u}= -\frac{1}{t}+\frac{1}{u} and differentiating this \acute{y}= \frac{1}{t^{2}}-\frac{u'}{u^{2}}...- kenano
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- Diff eq Type
- Replies: 5
- Forum: Differential Equations