7/24/2019 LaTeX primjer 1

1/3

7/24/2019 LaTeX primjer 1

2/3

7/24/2019 LaTeX primjer 1

3/3

(x) = 1f(x) 2g(x) ,

(x) =

3 [ 1f(x) + 2g(x)] ,

f(x) = 1 + 1

3!x3 +

1 46!

x6 +1 4 7

9! x9 +...=

k=0

3k

1

3

k

x3k

(3k)!,

g(x) =x+ 2

4!x4 +

2 57!

x7 +2 5 8

10! x10 +...=

k=0

3k

2

3

k

x3k+1

(3k+ 1)!,

c1= 3

2/3/(2/3) 0.3550 c2= 3

1/3/(1/3) 0.2588

Ai(x) 121/2x1/4exp(z), z=2

3x3/2,

Ai(x) 121/2x1/4sin

z+

4

,

Bi(x) 121/2x1/4exp(z),

Bi(x) 121/2x1/4cos

z+

4

.

(a, b; x)

(a, b; x)

(a, b; x)

(a, b; x)

xyxx+ (b x)yx ay= 0.

b

= 0,

1,

2,

3,...

(a, b; x)

(a, b; x) = 1 +k=1

(a)k(b)k

xk

k!,

(a)k =a(a+ 1)...(a+k 1), (a)0= 1.

(a, b; x)

(a, b; x) = (1 b)(a b+ 1) (a, b;x) +

(b 1)(a)

x1b(a b+ 1, 2 b;x)