" If "x^((2)/(3))+y^((2)/(3))=a^((2)/(3))," find "(d^(2)y)/(dx^(2))

If y=x^(3)-(1)/(x^(3)) then find (d^(2)y)/(dx^(2))

If x^(2/3) + y^(2/3) = a^(2/3) find (d^2y)/(dx^2) .

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

If : y=cos^(2)((3x)/(2))-sin^(2)((3x)/(2))," then: "(d^(2)y)/(dx^(2))=

If : y=cos^(2)((3x)/(2))-sin^(2)((3x)/(2))," then: "(d^(2)y)/(dx^(2))=

If y = (cos^(2))(3x)/(2) - (sin^(2))(3x)/(2) , then (d^(2)y)/(dx^(2)) is

If y=cos ^(2) ((3x) /( 2))-sin ^(2) ((3x)/( 2) ),then (d^(2)y)/( dx^(2)) =

(d^(2)x)/(dy^(2)) equals a. ((d^(2)y)/(dx^(2)))^(-1) b. -((d^(2)y)/(dx^(2)))^(-1)((dy)/(dx))^(-3) c. ((d^(2)y)/(dx^(2)))((dy)/(dx))^(-2) d. -((d^(2)y)/(dx^(2)))((dy)/(dx))^(-3)

If x = a cos^(3)(Theta), y = a sin^(3)(Theta) find (d^(2)y)/(dx^(2)) .

Find (d^2y)/(dx^2) y=x^2+3x+2