Ordinary Differential Equation

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

• 0

• 1

• 2

• 3

Tags

CCSS.HSA-REI.B.4B

Determine order and degree

• 3, 2

• 5, 3

• 3, 5

• 5, 2

What is the order and degree of the differential equation?

• 1, 2

• 2, 1

• 2, 3

• 3, 2

Determine the order and degree.

• 1, 2

• 1, 1

• 2, 1

• 2, 2

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

The particular solution is

• B

• C

• D

• E

Find a solution for y if dy/dx = 2x√y and y = 4 when x = 3.

• 2√y = x² + C

• y = x⁴/4

• y = (x² + 25)²/4

• y = ¼(x² - 5)²

If dy/dt=-2y and if y=1 when t=0, what is the value of t for what y=1/2?

• -ln(2)/2

• ln(2)/2

• -1/4

• ln2

Refer figure

• 2x