zadania z matmy013 bmp

y'~2y = 2#

jednorodne y’~2y - O y'=2y

^{!} - 2 v

dl

^ = 2 dl

y

In _v = 2t + In C y = Ce²'

y^ = Ąt*Ą

y_m = 4

— 2( -I / i Ą,) - 2/

~2Ął + (d_t~2Ą) = 2ł -24=2 4-24 = 0 Ą ~~1

-1-24 ~0

₍ I

^ 2

1 =

y = Ce²' ~ ~ ~

yf — O = Ce ^{v 2} J    = Ce ¹ — 1

4 2j    2 2

⁽ -I-I > C = 2e