What fraction of 3 weeks is 18 days?
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So as the path adds an extra 2 feet to each side I would start this by adding two feet to each part (so 25+2 x 38+2) which leaves you with 27ft by 40ft. Multiply to find this total area, which results in 1080. Now, you want to remove the actual area of the garden itself as this is not part of the path. So 25x38=950. Subtract 1080 by 950. This gives you just the area of the gardens path which would be
The corresponding homogeneous ODE has characteristic equation with roots at
, thus admitting the characteristic solution
For the particular solution, assume one of the form
Substituting into the ODE gives
Then the general solution to this ODE is
Assume a solution of the form
Substituting into the ODE gives
so the solution is
Assume a solution of the form
Substituting into the ODE gives
so the solution is