Question

linear or not?

Answer 1

What is linear or not??

Answer 2

i will write the eqn now

Answer 3

If the power of x is equal to 1, it is, if not, it isn't.

Answer 4

\[t^2(d^2y/dt^2)+t(dy/dt)+3y=sint\]

Answer 5

Oh it is the case of differential equations...

Answer 6

yeah

Answer 7

Uh, nevermind, was thinking about y=x functions :P

Answer 8

=)

Answer 9

i am waiting clear explanation

Answer 10

no?

Answer 11

is it linear?

Answer 12

I think no it is not..

Answer 13

it is :/ the answer says

Answer 14

Then it is..

Answer 15

but how?

Answer 16

i am confused about sint

Answer 17

It is the case of Differential equation and I have forget all about this..

Here, the square only represents the order of the equation...

Sint is linear..

Answer 18

\[d^2Q/dt^2+g/L(sinQ)=0 \]

Answer 19

is it linear?

Answer 20

a linear differential equation of y and its derivatives have exponent = 1. that means y^2 or (y')^3 are not allowed.
for your Q question, Q is not linear . it would be linear if you had
Q'' +(g/L) Q = 0

Answer 21

t 2 (d 2 y/dt 2 )+t(dy/dt)+3y=sint
i think it's linear

Answer 22

d 2 Q/dt 2 +g/L(sinQ)=0
is not

Answer 23

yes. (y'') has exponent 1
y' same
y same
so linear

Answer 24

it's not only exponent, also if functions like sin t , or e^t and so on.... are involved makes it not linear

Answer 25

thank you myko and phi

Answer 26

linear means, that there exist linear operator, call it L, that can be used to represent the equation. L is a matrix, by the way.