Question

What does it mean for a differential equation to be homogenous? I don't quite understand the notation in the definition.

Answer 1

I believe it basically means that if you add together a set of solutions, you still get a solution, and multiples of solutions are likewise solutions to the differential equation.

Hope someone else can expand further :)

Answer 2

So how can I recognize a homogenous equation?

Answer 3

If a differential equation is in terms of y (i.e. y'' + y' + y, etc.), it is said to be homogeneous as long as there is no term without a y. So for example

$$\frac{dy}{dx} + y = 0$$

is homogeneous, but

$$\frac{dy}{dx} + y = 13$$

is not, because the 13 is not in terms of the y.

Answer 4

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Answer 5

calc iii solution check

Answer 6

find max and min of x^2 + y^2 subject to the constraint x^2 - 8x +y^2 - 10y = 0

Answer 7

calc iii lagrange multipliers problem

Answer 8

Emotional effects of steroid use seem to depend on the _______ of the steroid used.

Answer 9

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Answer 10

Luella has a pond in her yard. She wants to surround it with 330 feet of fencing. The fencing is sold by the yard. How many yards should she buy?

Answer 11

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Answer 12

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Answer 13

Assessment items
Assessment started: undefined.
Item 1

Read the passage.

Dark Star

Giselle leaned against the mahogany bay horse, stroking the white diam

Answer 14

Okay I was gone for a minute BUT I'M BACK NOW

Answer 15

the scatter plot presents Ray's monthly electricity bills and amount of time ray

Answer 16

Which word shares a connotative meaning with the word cheap as it is used in this sentence?

Ashley thought her parents were being cheap when they bought ge

Answer 17

Which revision fixes the dangling modifier in the sentence?

Rowing through the rapids, the canoe began to fill with water.

Answer 18

dangling modifier

Answer 19

Misplaced Modifiers

Answer 20

For which literary work did Joseph Heller use his military experiences as a prima

Answer 21

Calc III Tutorial: Lagrange Multipliers

Answer 22

Can someone translate this for me?

Answer 23

Find the interest due on $1,090 at 8% for 5 years.

43.60
68.13
436.00
681.25