Which portion of the equation below is the increment function?

$$y_{i+1}=y_i+\phi h$$  

What can impact the stability of the numerical method used when solving an ODE? (Choose all that apply)

Partial differential equations are differential equations with more than one dependent variable

How many initial or boundary conditions are required to solve this system of ODEs?

$$\frac{dy}{dx}=6+x^3$$

  $$\frac{dv}{dx}=5y$$  

In the following ODE, v is the dependent variable:

$$\frac{dz}{dv}=6z+\sin\left(v\right)$$  

Choose the first order Runge-Kutta method(s)

If the step size is the same, which of the methods below is the most accurate

MATLAB can only solve first order ODEs

Adaptive algorithms use a uniform step size

The events parameter stops the calculation of an ODE when an independent variable reaches zero

A stiff system is an ODE with a solution that has rapidly varying and slow varying portions.

The ratio between the largest and smallest _____ determines the stiffness of a system

Implicit Euler's method is unconditionally stable

What is an extension of two-way ANOVA?

the mean and the standard deviation of population is called

some basic design of experiment

various objects of comparison in a comparative experiment are called

The methods that based on Taylor series in solving IVP are

Given above is the general formula for forth order Runge-Kutta method. What is w?