" (vi) "p=([1+((dy)/(dx))^(2)]^(3/2))/((d^(2)y)/(dx^(2)))

STATEMENT -1 : for the function y= f(x), f(x) ,({1+((dy)/dx)^(2)}^(3/2))/((d^(2)y)/(dx^(2))) = - ({1+ (dx/dy)^(2)}^(3/2))/((d^(2)x)/(dy^(2))) STATEMENT -2 : (dy)/(dx) = (1/(dx))/dy and (d^(2)y)/(dx^(2)) = d/dx (dy/(dx))

The degree of the differential equation [1+((dy)/(dx))^(2)]^((3)/(4))=((d^(2)y)/(dx^(2)))^((1)/(3)) is -

The degree of the differential Equation (1+((dy)/(dx))^(2))^(3//4)=((d^(2)y)/(dx^(2)))^(1//3)

The order and degree of the differential equation [1 + ((dy)/(dx))^(2)]^(3) = p^(2) [(d^(2)y)/(dx^(2))]^(2)

The order of the differential equation [(d^(2)y)/(dx^(2)) + ((dy)/(dx))^(2)]^(-3//2) = k (d^(2)y)/(dx^(2)) is

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

find the order and degree of D.E : (1) ((d^(2)y)/(dx^(2) ))^2 + ((dy)/(dx))^(3) = e^(x) (2) sqrt(1 + 1/((dy)/(dx))^(2))= ((d^(2)y)/(dx^(2)))^(3/2) (3) e^((dy)/(dx))+ (dy)/(dx) =x

The degree of the differential equation (d^(2)y)/(dx^(2)) + 3((dy)/(dx))^(2) = x^(2) log((d^(2)y)/(dx^(2))) is

The degree of the differential equation (d^(2) y)/(dx^(2)) + 3 ((dy)/(dx))^(2) = x^(2) log ((d^(2) y)/(dx^(2))) is