Differentials Problem Determining Grams

Question

Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid dissolves in such a way that the rate of change (in grams/minute) of the weight of the solid at any time t can be determined from the weight using the formula: f'(t)=−2f(t)(2+f(t))

If there is 5 grams of solid at time t = 2 estimate the amount of solid 1 second later.

Answer 1