A building is 2 ft from a 12 ft fence that surrounds the property. A worker wants to wash a window in the building 17 ft from th
e ground. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 8 ft from the fence for stability. To the nearest tenth of a foot, how long of a ladder will he need?
2 answers:
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Answer:
Step-by-step explanation:
A second order linear , homogeneous ordinary differential equation has form .
Given:
Let be it's solution.
We get,
Since ,
{ we know that for equation , roots are of form
}
We get,
For two complex roots , the general solution is of form
i.e
Applying conditions y(0)=1 on ,
So, equation becomes
On differentiating with respect to t, we get
Applying condition: y'(0)=0, we get
Therefore,