Discretize the ODE using the Forward Euler method and write out the iteration scheme.

The Crank-Nicolson method for discretizing first order ODEs uses the forward difference quotient for the derivative and evaluates the right-hand side at the average of the current and the next time step, i.e., it discretizes the ODE as Use the Crank-Nicolson method to discretize the ODE and write out the iteration scheme.

The gas law for a fixed mass of an ideal gas at absolute temperate , pressure , and volume is , where is a constant. What is the value of ?

The total resistance produced by three conductors with resistances , , connected in a parallel circuit is given by the formula What is ?

Let . What is ?

Let . What is ?

Compute the total derivative of .

Compute the total derivative of .

Discretize the ODE using the Backward Euler method and write out the iteration scheme.

Which of the following statements about explicit and implicit finite difference schemes is false?