Problem ODE from mechanics equation

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The particles are moving under force F = rK
when r = 1/u and u = 1/r

I tried to solve the problem by defining a variable v = u4 and u = v1/2

But I can not divide variable v out of variable u

I want to find r (Radius) of orbit

22883103_1504763529604934_1105646521_n.jpg
 

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  • #2
101
5
The particles are moving under force F = rK
when r = 1/u and u = 1/r

I tried to solve the problem by defining a variable v = u4 and u = v1/2

But I can not divide variable v out of variable u

I want to find r (Radius) of orbit

View attachment 213844


22834733_1504774389603848_295760871_n.jpg


22854884_1504774392937181_1917239542_n.jpg


22835385_1504774409603846_1871424257_n.jpg
 

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  • #3
haruspex
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The particles are moving under force F = rK
when r = 1/u and u = 1/r
I cannot make sense of the question. What do r, K and u represent? Which way does the force act?
Please state the entire question exactly as given to you. If it is a translation, try to be as complete and accurate as you can.

The ability to post images is really for diagrams and textbook extracts. Please take the trouble to type in your equations. The first image you posted was unreadabe.
 

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