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Find the differential equation of all no...

Find the differential equation of all non-vertical lines in a plane.

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To find the differential equation of all non-vertical lines in a plane, we can follow these steps: ### Step 1: Write the equation of a non-vertical line The general equation of a non-vertical line in the xy-plane can be expressed as: \[ y = mx + c \] where \( m \) is the slope of the line and \( c \) is the y-intercept. Since we are considering non-vertical lines, \( m \) cannot be infinite. ### Step 2: Differentiate the equation with respect to \( x \) ...
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