Undergraduate

A grass lawn has an area of 2 2 5 m 2 and has become host to a parasitic weed. Let A m 2 be

A grass lawn has an area of 225 m2 and has become host to a parasitic weed. Let A m2 be the area covered by the parasitic weed, t days after it was first noticed. The rate at which A is growing is proportional to the square root of the area of the lawn already covered by the weed. Initially the parasitic weed has spread to an area of 1 m2 and at that instant the parasitic weed is growing at the rate of 0.25 m2 per day. By forming and solving a suitable differential equation, calculate after how many days, the weed will have spread to the entire law

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