Hey

i just stared learning ODE's and since have to learn it own my own i'm havin a hard time understanding!

So could you please explain to me how to calculate the integralcurves for the following vector fields:

f(x,y)=(4,6);

f(x,y)=(x,y)

f(x,y)=(x,-y)

I have no clue how to do this, i thought i should just find a function for which these are the derivatives eg. f(x,y)=(4,6)-->F(x,y)=4x+6y but i don't think its that easy, especially when i compare it with the plot (maple).

Can you help me please?

thx