Introduction to Differential Equation

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

it is number of the highest degree in a differential equation

• variable

• degree

• order

• derivative

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

in $\frac{\text{d}x}{\text{d}y}$  , which is the dependent variable?

• x

• y

• d

• secret

in  $\frac{\text{d}y}{\text{d}x}$  , the independent variable is 

• x

• y

• d

• none of the options syempre!

 $\frac{\partial x}{\partial y}$  is a partial derivative

• Yes 

• No

• neither

• Either

Check all ordinary differential equation

• $\frac{\text{d}x}{\text{d}t}=5x-3$

• $\frac{\partial x}{\partial y}-2=3xy$

• $\left(x^2+y^2\right)dx-2xydy=0$

• $\left(\frac{\partial^3W}{\partial x^2}\right)^3=xy\frac{\partial^2W}{\partial y^2}+\frac{\partial^2W}{\partial z^2}=0$