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

Math help

Answer 5

Math help

Answer 6

Joe takes part in math competitions. A particular contest consists of 25 multiple-choice questions, and each question has 5 possible answers.

Answer 7

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Answer 8

Math help

Answer 9

Math help please

Answer 10

For the graph, which are possible functions u0192 and g?

https://dlap.gradpoint.com/Resz/~0.WizMacW1O0YyUA6.3mlS9pk2V_dxq3Z3V_nFYjSGI1H7UJXF1eNTFTnwZ-I/7234256,D94/Assets/questions/quiz/precalculus/pcalexpo/IMG73460.png

Answer 11

i need some help please

Answer 12

Select the correct answer.
Read this excerpt from "The Third Philippic," written by Demosthenes in 342 B.

Answer 13

Jackson is teaching a class the concept of the binary number system. Which term w

Answer 14

Affirmative action policies were originally designed to _____.

make sure a certa

Answer 15

What two Democratic leaders constantly challenged President Carter during his adm

Answer 16

Is the function u0192(x) = xu2078 an exponential function? If so, identify the base.

Answer 17

Perform the arithmetic operation. Write it in the simplest form. 5 yd. 1 ft. - 2 yd.

Answer 18

The narrator's description of Kunthi as "a thin, slight girl" connotes that

Answer 19

Math help

Answer 20

I just write whatever comes to mind, so..ye.

- Endless -

Answer 21

Which term describes the point where the perpendicular bisectors of the three sid

Answer 22

Write the Standard Form of the line with x-intercept of 3 and y-intercept of 4.

Answer 23

math help, screenshot in comments