Introduction to Differential Equation - Prelim Quiz no. 1

What is an equation that contains only ordinary derivatives of one or more dependent variables with respect to a single independent variable?

• Dependent Differential Equation

• First Order Differential Equation

• Partial Differential Equation

• Ordinary Differential Equation

What is an equation containing derivatives of one or more dependent variables with one or more independent variables?

• Partial Equation

• Different Equation

• Differential Equation

• Ordinary Equation

An equation containing partial derivatives of one or more dependent variables of two or more independent variables

• Ordinary Partial Differential Equation

• Partial Differential Equation

• Ordinary Differential Equation

• Partially Ordinary Differential Equation

What is the number of the highest degree in a differential equation?

• Variable

• Degree

• Order

• Derivative

What is the power of the differential equations’ highest derivative, after the equation has been made rational and integral in all of its derivatives?

• Order

• Degree

• Exponent

• Variable

Which is true about ∂u/∂t = k²[∂²u/∂x² + ∂²u/∂y²]?

• it is a partial differential equation.

• it is an ordinary differential equation.

• it is not a differential equation.

• it is an equation that cannot be differentiated.

When the dependent variable and all of its derivatives are of the first degree, the equation is?

• non linear

• linear

• both linear and nonlinear

• none of the options

If (d³w/dx²)² - x·y (d²w/dy²) + d²w/dz², which of the following is TRUE?

• Dependent variable is W; ODE; Order 3

• Dependent variable is W; PDE; Order 3

• Dependent variable are x,y,z; ODE; Order 3

• Dependent variable are x,y,z; PDE; Order 3

If (d³w/dx²)² - x·y (d²w/dy²) + d²w/dz², which of the following is TRUE?

• Independent variable is W; Degree 2

• Independent variable is W; Degree 3

• Independent variable are x,y,z; Degree 2

• Independent variable are x,y,z; Degree 3

What is a solution whose arbitrary constants are the same number as the order of DE?

• Complete

• Particular

• General

• Solutions of DE