# midterm 1, september 29

1. Solve
$y’=\cos^2(2y-x).$
2. Sketch the slope field
$y’=y-x^2.$
Find where the solutions to this differential equation have horizontal inflection points.
3. $x^3yy’=x^4+x^2y^2+y^4;$
4. Reduce to a linear DE and solve:
$y’=y^4\cos(x)+y\tan(x).$
5. Solve
$yy”-2(y’)^2=0.$