These are problems that should be written out, showing all your steps. Each problem will generally not take more than a half-page (some problems later in the term might take a little more). You can write them out by hand and scan it to a pdf file, use a word processor such as Microsoft Word, you can use LaTeX, or whatever other method works for you. Consider the exact DE (3x^(2)-2xy+3y^(2))(dy)/(dx)=y^(2)-6xy-3x^(2) a. Consider the following process to solving this exact DE: Rewrite to put it in the "differential" form: (3x^(2)-2xy+3y^(2))dy=(y^(2)-6xy-3x^(2))dx Integrate both sides: \int (3x^(2)-2xy+3y^(2))dy=\int (y^(2)-6xy-3x^(2))dx Perform the integration, ignoring any terms with y in the second integrand, to get the general solution to the DE : 3x^(2)y-xy^(2)+y^(3)=-x^(3)+Cy y^(2)y^(')+(1)/(x)y^(3)=(cos(x))/(x^(3)).