Question

Differential equation question:

It is possible to find a family of curves such that for every point (x; y) on a curve in this family, the tangent to the curve at this point cuts the x-axis at the point (5x; 0).
(a) Draw a rough sketch of a curve satisfying this condition.
(b) Write down a differential equation which describes the situation in your sketch.
(c) Solve this differential equation.
(d) Is there a curve in this family passing through the point (1; 1)? If so, find its equation.

Answer 1

Answers attached

Answer 2

Not sure how the answers are gotten to, especially (a). If someone could help me out even just with (a) that would be helpful :)

Answer 3

@ash2326 @estudier

Answer 4

@Hero

Answer 5

@shadowfiend

Answer 6

I'll try to help you

Answer 7

thanks :)

Answer 8

Thanks, i understand now :)