Differential Equation

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

The particular solution is

• B

• C

• D

• E

Tags

CCSS.HSA.REI.A.1

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

• Separable.

• Non Separable

Is this a Linear Differential equation

• Yes

• No

• Maybe

• red

Solve the following differential equations:
 $\frac{\text{d}y}{\text{d}x}=e^x$  

•  $1=e^x+C$  

•  $y=\frac{e^x}{2}+C$  

•  $y=e^x+C$  

•  $0=e^x+C$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Which functions below will have the same slope field? (choose all that apply)

• y = x² - 3

• y = x² + 4

• y = 2x - 5

• y = 2x²

Tags

CCSS.HSS.ID.C.7

In drawing the slope field for the differential equation , I would place short slope lines of _________ at the points (0,1), (1,-1), and (2,-2)
  $\frac{dy}{dx}=2x-3y$  

Select all that apply

• -3

• -1

• 2

• 5

• 10

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

y is proportional to the product of z and the square root of x

• $y=zx^2$

• $y=kzx^2$

• $y=kz\sqrt{x}$

• $y=zkx$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

The degree of a differential equation is define by a

• Positive real number

• Positive rational number

• Positive integer

• All the above

Solution of a linear differential equation of first order can be obtain by

• multiplying on both the sides by its integrating factor.

• adding on both the sides by integrating factor.

• subtracting integrating factor from both sides

• None of the above

The complete solution of Linear Differential equations involves

• complete function + particular integral

• complementary function + particular integral

• complementary function + definite integral

• complete function + indefinite integral