Assignment:
Q1. Sketch the direction fields for the following ODE's.
Make use of isoclines wherever possible.
a. y' = y - x + 1
b. y' = 2x
c. y' = y - 1
d. y' = xsquared + ysquared - 1
e. y' = y - xsquared
Please note y'=y prime. It looks diff, when i see the ?
Q2. In each direction field above sketch integral curves for which y(o) = -1, y(0) = 1, y(2)=1
Provide complete and step by step solution for the question and show calculations and use formulas.