1. Write the definition of a linear equation in unknown y in terms of functions a(x), b(x), c(x) where a(x) is the nonzero function multiplying y'= dy dx 2. Write the standard form of a linear equation in unknown y where b(x) P(X)= and q(x) =- c(x) a(x) a(x) 3. Multiply the standard form by u(x). 4. State the product rule for differentiation. 5. We wish for the standard form multiplied by u(x) to be equivalently written as separable equation do [u(x) . y] = q(x) . u(x) . a) State the differential equation that must be satisfied by u(x) to make the preceding equation true. b) Is the differential equation you found in a) a separable equation? c) Solve the differential equation found in a) and set the constant of integration to zero. d) Does u(x) match the integrating factor given in the textbook? e) Write the form of a general solution to a differential equation