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" 16.हल कhfिए : "(1+x^(2))dy=(1+y^(2))dx...

" 16.हल कhfिए : "(1+x^(2))dy=(1+y^(2))dx

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y(1+x^(2))dy=x(1+y^(2))dx

y(1-x^(2))dy=x(1+y^(2))dx

(1+x^(2))dy=y^(2)dx

(1+x^(2))(dy)/(dx) = 1-y

If y=cos (mcos ^(-1) x ),then (1-x^(2)) (d^(2)y)/(dx^(2) )-x( dy)/(dx)=

If y=sin (msin ^(-1) x),then (1-x^(2))(d^(2)y)/(dx^(2))-x( dy)/(dx)=

If y= e ^(mcos ^(-1)x) ,then (1-x^(2) ) (d^(2)y)/(dx^(2)) -x(dy)/(dx)=

If y=sin^(-1)x ,then prove that (1-x^(2))(d^(2)y)/(dx^(2))=x(dy/dx)

x(2y-1)dx+(x^(2)+1)dy=0