1. Find the solution for y'= 1/ (x^2 -5x+6) , with y(0)=0.
2. Find the solution for y'=|y| with y(0)=0. Does the Pichard's Theorem aply? justify your answer for each part.
3. Suppose that a cup of coffee is 100 degree Celcius at time t=0, it is at 80 degree celcius at t=5 minutes, and it is at 65 degree celcius at t=10. compare the ambient temperature.
hint: aplly Newton's Law of Cooling dT/dt:k(A-T)