introduction to Differential equations

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!

A differential equation involving derivatives of the dependent variable with respect to only one independent variable is called

• Dependent Differential Equation

• First Order Differential Equation

• Partial Differential Equation

• Ordinary Differential Equation

what is the order of this DE

 $\left(y^{'''}\right)^4+3y^{''}-2x\ =\ 0$  

• 4th

• 3rd

• 2nd

• 1st

Determine the order and degree for the following equation
 $5\left(\frac{\text{d}^4x}{\text{d}y^4}\right)^3+7\left(\frac{\text{d}x}{\text{d}y}\right)^{10}+y=x$  

• Order 1, Degree 10

• Order 1, Degree 3

• Order 4, Degree 10

• Order 4, Degree 3

What is the order of the D.E. (d²y/dx²)²+ y = 0

• 1

• 2

• 3

• 0

What is the order of a differential equation?

• the highest power of y

• The highest power of x

• the highest order of the derivative

• the coefficient of y

Choose the right description for the given differential equation

• 2n order, degree 1,

• 2nd order, degree -1,

• 3rd order, degree 1,

• 1st order, degree 1,

What is the order and degree of the differential equation?

• 1, 2
• 2, 1
• 3, 2
• 2, 3

Order and degree of the D.E. y^''+logy^'''-xy+(y''')³=0

• 3,1

• 2,3

• order -3,degree not defined

• 3,3