The image you uploaded contains a set of problems related to the order and degree of differential equations. Here are the answers based on the problems presented:

1. Find the order and degree of the differential equation
   $\left[1 + \left(\frac{dy}{dx}\right)^2\right]^{\frac{3}{4}} = \frac{d^2y}{dx^2}$

   • Answer: Order = 2, Degree = 4

2. Determine the degree of the differential equation
   $\sin\left(\frac{dy}{dx}\right) + \frac{d^2y}{dx^2} = x$

   • Answer: Order = 2, Degree = not defined (since the equation involves a trigonometric function of a derivative, the degree is not well-defined)

3. Find the order and degree of the differential equation
   $\frac{\partial^2 z}{\partial x^2} + \frac{\partial^2 z}{\partial y^2} = 1$

   • Answer: Order = 2, Degree = 1

4. Form the differential equation of simple harmonic motion
   Given $x = A \cos(t + B)$, where A and B are arbitrary constants.

   • Answer:
     $\frac{d^2 x}{dt^2} + x = 0$

Would you like further clarification or additional steps for any of the problems?