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अवकल समीकरण --- ((dy)/(dx))^3 = sqrt(1+(...

अवकल समीकरण --- `((dy)/(dx))^3 = sqrt(1+((dy)/(dx))^2)` को कोटि एव घात लिखिए |

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(y-x(dy)/(dx))=3(1-x^(2)(dy)/(dx))

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

y^(3) - (dy)/(dx) =x^(2) (dy)/(dx)

((dy) / (dx)) ^ (2) + (1) / ((dy) / (dx)) = 2

x((dy)/(dx))^(2)+2sqrt(xy)(dy)/(dx)+y=0

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

yx (dy) / (dx) = a (y ^ (2) + (dy) / (dx))

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

If y=sqrt(1+x^(2)) then (dy)/(dx) =