課程名稱︰工程數學
課程性質︰必修
課程教師︰蕭浩明
開課學院：工學院
開課系所︰機械系
考試日期（年月日）︰2014/10/22
考試時限（分鐘）：50
試題 :
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