Suggested: if y=sin^-1x show that (1-x^2) d^2y/dx^2-xdy/dx=0 - cos x dx+(1+2/y)sin xdy=0 - x^2d^2y/dx^2+xdy/dx-y=0 given that x+1/x is one integral - (1+x)ydx+(1-xy)dy=0 - x2d2y/dx2+xdy/dx-y=0 given that x+1/x is one integral - (x^2y^2+xy+1)y dx+(x^2y^2-xy+1)xdy=0 - (x3y3+x2y2+xy+1)ydx+(x3y3-x2y2-xy+1)xdy=0 - (1+xy)ydx+(1-xy)xdy=0 - xy^3dx+(y+1)e^-xdy=0 - y(1+xy)dx-xdy=0 - (1+xy)ydx+(1-xy)xdy=0 integrating factor - हल करें y(1+xy)dx-xdy=0 - xy+1)xdy=0 Browse related:
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