
Solve
\[
y’=\cos^2(2yx).
\] 
Sketch the slope field
\[
y’=yx^2.
\]
Find where the solutions to this differential equation have horizontal inflection points.  \[
x^3yy’=x^4+x^2y^2+y^4;
\] 
Reduce to a linear DE and solve:
\[
y’=y^4\cos(x)+y\tan(x).
\] 
Solve
\[
yy”2(y’)^2=0.
\]
midterm 1, september 29
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