Sponsored links: Algebra eBooks
 

Help Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

The Maxima on-line user's manual

Algebra Calculator

Search:

Airy_ai

Function: airy_ai (<x>) The Airy function Ai(x). (A&S 10.4.2)

A(x) := airy_ai(x) ;
B(x) := (1/(2*sqrt(%pi)*x^(1/4)))*%e^((-2*x^(3/2))/3) ;
C(x) := (1/(sqrt(%pi)*(-x)^(1/4)))*sin(((2*(-x)^(3/2))/3)+(%pi/4)) ;
plot2d ([A], [x, -15, 5], [y, -1, 1]);

The derivative diff (airy_ai(x), x) is airy_dai(x).

See also airy_bi, airy_dai, airy_dbi.

(%o1)                                true
(%i2) 

Related Examples

airy_ai-airy_bi-plot2d
plot2d([airy_ai(x),airy_bi(x)],[x,-5,1]);

plot2d([airy_ai(x),ai...

Calculate

airy_ai-diff

diff( airy_ai(x), x);

Calculate

airy_ai-linsolve

eq1:y=airy_ai(x);

eq2:x+2=y;

linsolve([eq1,eq2],[x...

Calculate

airy_ai-exp-pi-plot2d-sqrt
plot2d([(airy_ai(x),x),(f1,x)],[x,-15,5]);

f1: (exp(-((2*x(3/2))...

plot2d([(airy_ai(x),x...

Calculate

airy_ai-plot2d-sin
plot2d([airy_ai(x),F(x)],[x,-15,5],[y,-1,1]);

F(x):=(sin(((2*(-x)^(...

plot2d([airy_ai(x),F(...

Calculate

airy_ai-plot2d
plot2d(airy_ai(x),[x,-15,5]);

plot2d(airy_ai(x),[x,...

f1(x):=x;

plot2d (f1(x),[x,-15,...

Calculate

airy_ai-pi-plot2d-sqrt
plot2d([airy_ai(x),f1(x)],[x,-15,5]);

f1(x):=(e^(-(2*x^(3/2...

plot2d([airy_ai(x),f1...

Calculate

airy_ai-plot2d
plot2d([airy_ai(x),f1(x)],[x,-15,5]);

f1(x):=x;

plot2d([airy_ai(x),f1...

Calculate

airy_ai-airy_bi-plot2d
plot2d([airy_ai(x),airy_bi(x)],[x,-10,1]);

plot2d([airy_ai(x),ai...

Calculate

airy_ai-plot2d
plot2d([airy_ai(x),f1(x)],[x,-15,5]);

f1(x):=x;

plot2d([airy_ai(x),f1...

Calculate