In the following problems, obtain the differential equations of the given families of curve whose properties are indicated

Tazmin Horton

Tazmin Horton

Answered question

2021-08-09

In the following problems, obtain the differential equations of the given families of curve whose properties are indicated

Answer & Explanation

timbalemX

timbalemX

Skilled2021-08-10Added 108 answers

Solution
Vasquez

Vasquez

Expert2021-12-28Added 669 answers

Step 1

1) The equation of the circle will be of the form x2+y2=16

The differential in this case will be

2x+2yy=0

2yy=2x

dydx=xy

2)the parabola with the vertex on the y-ax is will be of the form

(yh)2=4a(xk)

Hence the equation in this case will be of the form y=2ay

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