Suggested: discuss the maxima and minima of f(x y)=x^3y^2(1-x-y) - (1-x)y'=y^2 differential equation - if u=sin(x/y) x=e^t y=t^2 find du/dt - if x^y=e^x-y prove that dy/dx=logx/(1+logx)^2 - if cosy=xcos(a+y) prove that dy/dx=cos^2(a+y)/sina - y-x dy/dx=a(y^2+dy/dx) - y(2x-y+1)dx+x(3 x-4y+3)dy=0 - (xy+x)dx=(x^2 y^2+x^2+y^2+1)dy - solve dy/dx+y/x=y^2x - if siny=xsin(a+y) prove that dy/dx=sin^2(a+y)/sina - x^2 dy+y(x+y)dx=0 - (6x+y^2)dx+y(2x-3y)dy=0 - y(x+y+1)dx+x(x+3y+2)dy=0 - (x^2+2xy-y^2)dx+(y^2+2xy-x^2)dy=0 - dx+y=y^2 Browse related:
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