[" 3."(dy)/(dx)" Known कीजि,यदि "],[" (i) "x^(2/3)+y^(2/3)=a^(2/3)]

(x + y (dy) / (dx)) / (yx (dy) / (dx)) = (x cos ^ (2) (x ^ (2) + y ^ (2))) / (y ^ ( 3))

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

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

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

y=x^(3)-4x^(2)+5 . Find (dy)/(dx) , (d^(2) y)/(dx^(2)) and (d^(3)y)/(dx^(3)) .

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

Find the order and degree of the following D.E's (i) (d^(2)y)/(dx^(2)) + 2((dy)/(dx))^(2) + 5y = 0 (ii) 2(d^(2)y)/(dx^(2)) = (5+(dy)/(dx))^((5)/(3)) (iii) 1+((d^(2)y)/(dx^(2)))^(2) = [2+((dy)/(dx))^(2)]^((3//2)) (iv) [(d^(2)y)/(dx^(2))+((dy)/(dx))^(3)]^((6/(5)) = 6y (v) [((dy)/(dx))^(2) + (d^(2)y)/(dx^(2))]^((7)/(3)) = (d^(3y))/(dx^(3)) (vi) [((dy)/(dx))^((1)/(2)) + ((d^(2)y)/(dx^(2)))^((1)/(2))]^((1)/(4)) = 0 (vii) (d^(2)y)/(dx^(2)) + p^(2)y = 0 (viii) ((d^(3)y)/(dx^(3)))^(2) -3((dy)/(dx))^(2) - e^(x) = 4

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