zadania z matmy015 bmp

jednorodne y'-ytgx = O

y'=ytf&

dy

—~ = ytgx

dx

dy	- tgxdx ł	c
y
In v	- - In cos x 4 ln C
In >'	— In C -•	In cos x
In v	- In ^C
	COS	X
In v	-In ^L	= 0
	cos	X
In	^y: =:0	C —>y = ---
	c	COS X

cos x

y -    '    > v ~ C •

COS X    COS X

y ~    +ya_a

v = A cos x + B sin x y    - - A sin x + B cos x

- A sin x + B cos x - tgx:(A cos x + Bsin x) ~ 2sin x

i sinx \tgx------

COS X

/i sin x i fi cos x -    ¹¹ * {,-/ cos .t f fi sin i j 2 sin x

cosx '

B sin x sin x

A sin x f B cos x - A sin x

COS X

- 2 A sin x f B cos x

B sm ' x .

- 2sm ,t