The direction field for y dyldxx is given Select the graph t

The direction field for y dyldxx is given. Select the graph that represents the approximate solution curve that passes through the point y(0) 1. Select one:

Solution

We are given the differential equation of the solution ie dy/dx=x

ANd we are given y(0)=1 ie on y axis solution must take the value 1

Using dy/dx=x we can plot solution by look at slopes.

So we know that for x<0 dy/dx<0 ie graph of solution with have negative slope

And for x>0 we have positive slope and for x=0 we have 0 slope

So,
(a) is the correct solution.