Introduction to Differential Equations

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

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

 $\frac{\text{d}x}{\text{d}y}=\cos\ x$  is an ordinary differential equation

• True

• False

• is a differential equation

• is not a differential equation

• either ordinary or partial differential equation

• neither ordinary of partial differential equation

it is number of the highest degree in a differential equation

• variable

• degree

• order

• derivative

The power of the differential equation's highest derivative, after the equation has been made rational and integral in all of its derivatives

• order

• degree

• exponent

• variable

which is true?

• 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 non linear

• none of the options

an equation is non-linear if the coefficients depend at most on the "independent" variables

• True

• False