`(dy)/(dx)` ज्ञात करें यदि
`x^((2)/(3))+y^((2)/(3))=a^((2)/(3))`

If x^((2)/(3))+y^((2)/(3))=a^((2)/(3)), then (dy)/(dx)=

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

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

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

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

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

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

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