It's well known that circles have a derivative of .
You can check this by solving the DE...
where .
Now you can use your boundary conditions to evaluate .
by hand sketch an approximate solution curve through each of the points.
ok so the function is:
y(dy/dx) = -x so, (dy/dx) = -x/y at the point y(1)= 1 and y(0) = 4
so at the point 1,1 the slope is -1, so my dash is going up and to the left? is this all im doing with this problem or am i missing something?
thanks in advance.