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0

$begingroup$

An ordinary differential equation (ODE) is classified according to the highest derivative, i.e.,

$$fracdydx+y=0$$

is a 1st order ODE, and

$$fracd^2ydx^2+y=fracdydx$$

is a 2nd order ODE. Considering that, what would an equation like the following

$$a_0(x) y + sum_i=1^+infty a_i(x) fracd^iydx^i = 0$$

where $a_i(x)$ is a know function, be called if it existed?

ordinary-differential-equations notation

share|cite|improve this question

edited yesterday

Rodrigo de Azevedo

13.1k41960

asked yesterday

candcand

1,42911023

$endgroup$

add a comment | 

0

$begingroup$

An ordinary differential equation (ODE) is classified according to the highest derivative, i.e.,

$$fracdydx+y=0$$

is a 1st order ODE, and

$$fracd^2ydx^2+y=fracdydx$$

is a 2nd order ODE. Considering that, what would an equation like the following

$$a_0(x) y + sum_i=1^+infty a_i(x) fracd^iydx^i = 0$$

where $a_i(x)$ is a know function, be called if it existed?

ordinary-differential-equations notation

share|cite|improve this question

edited yesterday

Rodrigo de Azevedo

13.1k41960

asked yesterday

candcand

1,42911023

$endgroup$

add a comment | 

$begingroup$

An ordinary differential equation (ODE) is classified according to the highest derivative, i.e.,

$$fracdydx+y=0$$

is a 1st order ODE, and

$$fracd^2ydx^2+y=fracdydx$$

is a 2nd order ODE. Considering that, what would an equation like the following

$$a_0(x) y + sum_i=1^+infty a_i(x) fracd^iydx^i = 0$$

where $a_i(x)$ is a know function, be called if it existed?

ordinary-differential-equations notation

share|cite|improve this question

edited yesterday

Rodrigo de Azevedo

13.1k41960

asked yesterday

candcand

1,42911023

$endgroup$

share|cite|improve this question

edited yesterday

Rodrigo de Azevedo

13.1k41960

asked yesterday

candcand

1,42911023

share|cite|improve this question

edited yesterday

Rodrigo de Azevedo

13.1k41960

asked yesterday

candcand

1,42911023

edited yesterday

Rodrigo de Azevedo

13.1k41960

edited yesterday

Rodrigo de Azevedo

13.1k41960

asked yesterday

candcand

1,42911023

asked yesterday

candcand

1,42911023