Question

obtain the differential equations of the family of :
1. straight lines with slope 3.
2. parabolas opening to the right.
3. circles with radius 2.

Answer 1

1) can you tell me the general form for an equation for a line with slope 3?

Answer 2

Do you know you can write an equation of a line function like this y=mx+b

Answer 3

replace m with 3
then to find the differential equation of the family of the lines with slope 3
try differentiate y=mx+b w.r.t x

Answer 4

I hope that helps you with the rest of the questions as well