Recent content by Jazradel
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Solving a 2nd-Order ODE for Conservation of Energy
Ah thanks, that should be great help. You can view the assignment here http://www.maths.utas.edu.au/People/Forbes/KYA314Ass2in2011.pdf . Question 2. (a) is the one in question. I think I've typed it correctly though. Edit: I have confirmed it is not a typo.- Jazradel
- Post #5
- Forum: Calculus and Beyond Homework Help
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Solving a 2nd-Order ODE for Conservation of Energy
I just checked, it's definitely \frac{1}{2}x^{2}+V(x)=E. I did have to fix the V(X) and the domain of the integration. You're saying do this? \int f(x) dx = \int \frac{\partial^{2}x}{\partial t^{2}} dx \int \frac{\partial^{2}x}{\partial t^{2}} dx = \int \frac{\partial}{\partial t} (...- Jazradel
- Post #3
- Forum: Calculus and Beyond Homework Help
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J
Solving a 2nd-Order ODE for Conservation of Energy
Homework Statement Consider a mechanical system describe by the conservative 2nd-order ODE \frac{\partial^{2}x}{\partial t^{2}}=f(x) (which could be non linear). If the potential energy is V(x)=-\int^{x}_{0} f(\xi) d \xi, show that the system satisfies conservation of energy...- Jazradel
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- Conservation Conservation of energy Energy Ode
- Replies: 6
- Forum: Calculus and Beyond Homework Help