Get the answer to "In the following problems, obtain the differential equations..."

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

timbalemX

Skilled2021-08-10Added 108 answers

Solution

Vasquez

Expert2021-12-28Added 669 answers

Step 1

1) The equation of the circle will be of the form $x^{2} + y^{2} = 16$

The differential in this case will be

$2 x + 2 y y^{'} = 0$

$2 y y^{'} = - 2 x$

$\frac{d y}{d x} = - \frac{x}{y}$

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

$(y - h)^{2} = 4 a (x - k)$

Hence the equation in this case will be of the form $y^{'} = \frac{2 a}{y}$

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