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anonymous
 4 years ago
Can anyone help me solve the differential eqn dv/dt= 8v^2? I have done this repeatedly, and none of my answers work
anonymous
 4 years ago
Can anyone help me solve the differential eqn dv/dt= 8v^2? I have done this repeatedly, and none of my answers work

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0What do you need to solve?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0My question asks, Find the velocity function v(t) if at time t=0, the body is traveling at 94 m/s

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I started out by separating the variables, and getting v = 1/(8t+C), where C is a constant. Is this integration wrong?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dv/dt = 8v^2 Integral will be 8v^2t + c.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Since v(t) = 94 when t = 0. In that integral, c = 94. So, the function is: v(t) = 8v^2t + 94

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Can 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
 4 years ago
Best ResponseYou've already chosen the best response.0It 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
 4 years ago
Best ResponseYou've already chosen the best response.0That is what I forgot...wow...thanks so much for your help!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Very good! No worries.
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