求∫(y²-2xysinx²)dx+cosx²dy,其中x²／a²＋y

求∫(y²-2xysinx²)dx+cosx²dy,其中x²／a²＋y x-y²+xe^y=10 求dy/dx y=1+xe^y,求dy/dx.参数方程x=e^-t,y=3t,求dy/dx.求∫1/x+x². 求dy/dx=x/y+(cosx/y)^2通解 y=x/(√a²-x²),求dy/dx! y=1/2·x·√(ln[x+²√(x²﹢a²)],求dy/dx及d²y/dx& 设函数y=sin(2x²+1),求dy/dx,d²y/dx² 已知y=x^cosx/2,求dy/dx, 已知dx/dy=1/y’ 求d²x/dy² 求微分方程dy/dx=2y/(x+1)=(x+1)²的通解 求dy/dx=y/x+(x/y)²的通解 [(2-x)dy/dx+y]²+(x-ydx/dy)²=4