(d^(2)y)/(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

The differential equation representing the family of curves given by y=ae^(-3x)+b , where a and b are arbitrary constants, is a) (d^(2)y)/(dx^(2))+3(dy)/(dx)-2y=0 b) (d^(2)y)/(dx^(2))-3(dy)/(dx)=0 c) (d^(2)y)/(dx^(2))-3(dy)/(dx)-2y=0 d) (d^(2)y)/(dx^(2))+3(dy)/(dx)=0

Solve (d^2y)/(dx^2)=(a)^2

In which of the following differential equation degree is not defined? (a) (d^2y)/(dx^2)+3(dy/dx)^2=xlog((d^2y)/(dx^2)) (b) ((d^2y)/(dx^2))^2+(dy/dx)^2=xsin((d^2y)/(dx^2)) (c) x=sin((dy/dx)-2y),|x|<1 (d) x-2y=log(dy/dx)

In which of the following differential equation degree is not defined? (a)(d^2y)/(dx^2)+3(dy/dx)^2=xlog((d^2y)/(dx^2)) (b)((d^2y)/(dx^2))^2+(dy/dx)^2=xsin((d^2y)/(dx^2)) (c)x=sin((dy/dx)-2y),|x|<1 (d)x-2y=log(dy/dx)

In which of the following differential equation degree is not defined? (a) (d^2y)/(dx^2)+3(dy/dx)^2=xlog((d^2y)/(dx^2)) (b) ((d^2y)/(dx^2))^2+(dy/dx)^2=xsin((d^2y)/(dx^2)) (c) x=sin((dy/dx)-2y),|x|<1 (d) x-2y=log(dy/dx)

In which of the following differential equation degree is not defined? (a) (d^2y)/(dx^2)+3(dy/dx)^2=xlog((d^2y)/(dx^2)) (b) ((d^2y)/(dx^2))^2+(dy/dx)^2=xsin((d^2y)/(dx^2)) (c) x=sin((dy/dx)-2y),|x|<1 (d) x-2y=log(dy/dx)

The degree of the differential equation : (d^3y)/(dx^3)+7((d^2y)/(dx^2))^2=x^2log""(d^2y)/(dx^2) is :

(d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^(-1) (2) -((d^2y)/(dx^2))^(-1)((dy)/(dx))^(-3) (3) ((d^2y)/(dx^2))^(-1)((dy)/(dx))^(-2) (4) -((d^2y)/(dx^2))((dy)/(dx))^(-3)