1. (5) Given the IVP xdy/dx- y = 2x^2;y (1) = 5: (a) Write the
DE in standard form.
(b) Compute the integration factor, (x): Show your work.
(x) =
(c) Find the general solution of the DE. Show your work.
(d) Use the inital condition to solve for c: Show your work.
c =
(e) What is the largest interval I over which the solution is
dened? Write your answer in the box.
2. (3) Given the DE (1...