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Rates of change
Terms & notations involving differential equations
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| A | B |
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| length increases at 2m/s | dL/dt = 2 |
| water leaks out at 4cc/s | dV/dt = -4 |
| population chages at rate inversely proportional to population | dN/dt = k/N, (k>0) |
| solid dissolves at rate proportional to amt of undissolved solid remaining | dM/dt = k(Mo-M), (k>0) |
| max.sustainable population Po; growth rate varies jointly as no. and no. yet to become max. | dN/dt = kN(No-N), (k>0) |
| area increase at rate proptional to height | dA/dt = kh, (k>0) |
| velocity of rate of change of displacement | dx/dt = v |
| acceleration is rate of change of velocity | dv/dt = a |
| water drops in at constant rate | dV/dt = k, (k>0) |
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