Wk7 0B2 Review Session MCQs (Matrix Inverses and ODEs)

• a) When going through the Gaussian Elimination process to find an inverse of A you obtain a matrix on the left of an augmented matrix in REF with no zero rows.

• b) When going through the process to find an inverse of A you get a row of 1s on the left of an augmented matrix.

• c) If A represents the left-hand-side (LHS) of equations that has a unique solution.

A differential equation can be (roughly) defined to be...

• a) an equation.

• b) an equation that involves derivatives.

• c) an equation with two variables.

• d) an integral.

• a) Numbers for x and y that satisfy the equation.

• b) Another equation in x and y that satisfies the differential equation.

• d) A simplification of the differential equation.

A solution of an ODE where all the constants have a specific values for the constants of integration is called a (a)   solution.

• Yes

• No

What is a separable ODE?

What do we mean by a linear (first order) ODE.

• a) A differential equation that can be written in the form y=mx+c, for some constants m and c.

• b) x-1

What do we do with an integrating factor (IF) to solve an ODE?

• a) Multiply the LHS of the ODE by the IF.

• b) Multiply the RHS of the ODE by the IF.

• c) Multiply the both sides of the ODE by the IF.

• d) Multiply the IF by the ODE.