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Hello, I have a question about integration, which could not be a normal type of math type question since this is an equation related to physics. I was not sure which section I should ask, but I assumed it would be appropriate to ask here. Also, this is my first time using the reference desk, so I am not used to the style of writing an equation.
So, can you decide if my work is correct below?
To note: v(0)=0, x(0)=h, I will integrate from t=0 to t=t dv/dt=-g-bv---(1), v(t)=-(g/b)(1-e^(-bt)) is given(concluded from the former equation (1).) I want to find x(t). Multiply dt to (1) --> dv=-gdt-bdx --> Integrate --> v(t)=-gt-b(x(t)-h) --> x(t)=h-(g/b)(t-(1-e^(-bt))/b)
The answer is correct, but I'm not sure if this logic is correct. v, x is dependant on t, but is this possible? Also, if there are any Wiki pages about this topic(3 or more variables in Differential Equation?)
Thank you very very much, Luke Kern Choi 5 ( talk) 15:10, 25 March 2020 (UTC)
Mathematics desk | ||
---|---|---|
< March 24 | << Feb | March | Apr >> | Current desk > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Hello, I have a question about integration, which could not be a normal type of math type question since this is an equation related to physics. I was not sure which section I should ask, but I assumed it would be appropriate to ask here. Also, this is my first time using the reference desk, so I am not used to the style of writing an equation.
So, can you decide if my work is correct below?
To note: v(0)=0, x(0)=h, I will integrate from t=0 to t=t dv/dt=-g-bv---(1), v(t)=-(g/b)(1-e^(-bt)) is given(concluded from the former equation (1).) I want to find x(t). Multiply dt to (1) --> dv=-gdt-bdx --> Integrate --> v(t)=-gt-b(x(t)-h) --> x(t)=h-(g/b)(t-(1-e^(-bt))/b)
The answer is correct, but I'm not sure if this logic is correct. v, x is dependant on t, but is this possible? Also, if there are any Wiki pages about this topic(3 or more variables in Differential Equation?)
Thank you very very much, Luke Kern Choi 5 ( talk) 15:10, 25 March 2020 (UTC)