Differential Equations

Degree of Differential equation is

• Power of highest order derivative

• Highest power

• Highest order derivative in DE

• None of above

I.F. of  $\frac{\text{d}x}{\text{d}y}+Px=Q$  is given by:

•  $e^{\int Pdx_{ }}$  

•  $e^{\int Pdy_{ }}$  

•  $e^{\int Qdy_{ }}$  

•  $e^{\int Qdx_{ }}$  

The following Differential Equation is
 $\frac{\text{d}y}{\text{d}x}=x^2y+x$  

• Separable.

• Non Separable.

y varies jointly with x and the square of z

• y= kxz²

• y= kx√z

• y= kxz

• kx²z

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Which choice below represents this slope field?

• dy/dx = 2x

• dy/dx = -x

• dy/dx = x

• dy/dx = x²

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is DE

• Contains variables

• Have constants

• Contains variables and its derivatives

• Has image

What do mean by linear

• Degree 1

• Degree 2

• Degree 3

• Degree 4

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What is homogeneous

• same degree

• same order

• different degree

• different order

Tags

CCSS.HSA.APR.A.1

dy/dx = 4x/y. Suppose y(0)=1

The particular solution is

• B

• C

• D

• E

Tags

CCSS.HSA.REI.A.1

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