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Results tagged with differential-equations
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user 13904
Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.
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How to integrate this differential equation?
Well, here's something I thought right now, so it might be wrong (or obviously wrong).
You have $$dx/dp=4p^2(p/x+x+5)=4p^2h(p,x)$$
Let's assume we want to have such a function $h(p,x):=h(p/x)$.
Then c …
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2
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0
answers
189
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Lemma 4.5.1 on page 77 in the book Averaging Methods in Nonlinear Dynamical Systems
I have a query regarding two equalities in the lemma in the book.
But first I'll provide two definitions that one needs for this lemma.
Definition 4.2.4: Consider the vector field $f(x,t)$ with $f:\ …
- 1,594
1
vote
Coupled differential equations
I have a suggestion but it's an approximation method.
Use Euler method to approximate $x_{n+1}(t)-x_{n}(t)\approx x'_n(t)$.
I don't see how you can solve it analytically, beside plugging $x_n(t) = \ …
- 1,594
-1
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1
answer
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Proving convergence of an integral-differential equation [closed]
I have a second order nonlinear ordinary differential equation which I transformed into an integral-differential equation by multiplying the ODE by $y'$ and integrating.
My question is where can I fi …
- 1,594
3
votes
0
answers
587
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Differential Equations vs Difference Equations
My question is:
Is there a duality between a solution of an ODE,PDE,SDE or integral equations with their analog counterpart in the discrete domain?
I mean if I know a solution to the difference equa …
CommunityBot
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2
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3
answers
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Laurent series expansion for ODE.
OK, then I read Frobenius method in mathworld (I learned when I took ODE 2):
http://mathworld.wolfram.com/FrobeniusMethod.html
My question is:
Are there any ODEs where the solution is given by full L …
- 91.8k