anonymous
  • anonymous
Can anyone help me solve the differential eqn dv/dt= -8v^2? I have done this repeatedly, and none of my answers work
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
What do you need to solve?
anonymous
  • anonymous
My question asks, Find the velocity function v(t) if at time t=0, the body is traveling at 94 m/s
anonymous
  • anonymous
I started out by separating the variables, and getting v = 1/(8t+C), where C is a constant. Is this integration wrong?

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anonymous
  • anonymous
dv/dt = -8v^2 Integral will be -8v^2t + c.
anonymous
  • anonymous
Since v(t) = 94 when t = 0. In that integral, c = 94. So, the function is: v(t) = -8v^2t + 94
anonymous
  • anonymous
Can you walk me through the integration? If I know what I a getting wrong here, I might be able to fix my problems with my other homework numbers. Was my approach to separate variables valid?
anonymous
  • anonymous
It is actually a simple integration. Since the integral is with respect to "t", treat -8v^2 as a constant. Integral of (a * dt) will be "a * t + c". So, you get what I showed.
anonymous
  • anonymous
That is what I forgot...wow...thanks so much for your help!
anonymous
  • anonymous
Very good! No worries.

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