课程名称︰工程数学
课程性质︰必修
课程教师︰萧浩明
开课学院：工学院
开课系所︰机械系
考试日期（年月日）︰2014/10/22
考试时限（分钟）：50
试题 :
1.(25%)Solve (1+xy)y+(1-xy)xy'=0
2.(25%)If dy/dx=F(y/x), what is its integration factor in terms of x and y?
3.(25%)Assume the first-order linear differential equation y'+p(x)y=q(x) is
not exact, prove that it has the integrating factor μ(x)=e^∫p(x)dx
4.(25%)Solve (x+x^4+2x^2*y^2+y^4)dx+ydy=0