Linear Differential Equation

  • Thread starter MrMumbleX
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  • #1
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Homework Statement


dv/dt = -327/3500 – (41/105)(square root of 6)(v2). Solve for v.


Homework Equations





The Attempt at a Solution


dv/[327/3500 + (41/105)(square root of 6)(v2)] = -dt
Then integrate both sides. 1/(square root of (327/3500)) * arctan(v * square root of ((41/105)(square root of 6)/(327/3500))) + c = -t?
 
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Answers and Replies

  • #2
vela
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Almost right. You seem to be missing a factor of sqrt(105/41) on the lefthand side.

You can always check your answer by differentiating and seeing if you recover what you started with.
 

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