Ответ:
Объяснение:
{dx/dt=x-y+8t
{dy/dt=5x-y
{x/t=x-y+8t
{y/t=5x-y
{y=x-x/t+8t
{(x-x/t+8t)t=5x-x-x/t+8t
{y=x-x/t+8t
{xt-x+8t= 4x-x/t+8t
{y=x-x/t+8t
{xt-x=4x-x/t
{y=x-x/t+8t
{xt+x/t=5x
{y=x-x/t+8t
{x(t+1/t)=5x
{y=x-x/t+8t
{t+1/t=5 |×t
{y=x-x/t+8t
{t²-5t+1=0
y=x-x/t+8t
D=25-4
D=21
√D=√21
t=(5±√21)/2
{y=x-x/t+8t
{ [t=(5+√21)/2
{ [t=(5-√21)/2
[{y=x-2x/(5+√21) +4(5+√21)
{t=(5+√21)/2
[{y=x-2x/(5-√21) +4(5-√21)
{t=(5-√21)/2
[{y=x-10x-2√21+20+4√21
{t=(5+√21)/2
[{y=x-10x+2√21+20-4√21
{t=(5-√21)/2
[{y=-9x+2√21+20
{t=(5+√21)/2
[{y=-9x-2√21+20
{t=(5-√21)/2
Возвращаемся к начальному выражению
{y/t=5x-y
{y=-9x+2√21+20
{t=(5+√21)/2
{y=-9x-2√21+20
{t=(5-√21)/2
[ {(-18x+4√21+40)/(5+√21)= 5x+9x-
2√21-20
{y=-9x+2√21+20
{t=(5+√21)/2
[ {(-18x-4√21+40)/(5-√21)=
5x+9x+2√21-20
{y=-9x-2√21+20
{t=(5-√21)/2
Немного округлим значения √21≈4,58
[ {(-18x+18,32+40)/(9,58)= 5x+9x-
9,16-20
{y=-9x+9,16+20
{t=(9,58)/2
[ {(-18x-18,32+40)/(0,42)=
5x+9x+9,16-20
{y=-9x-9,16+20
{t=(0,42)/2
[ {(-18x+58,32)/(9,58)= 14x-10,84
{y=-9x+29,16
{t=(9,58)/2
[ {(-18x-21,68/(0,42)= 14x+10,84
{y=-9x+10,84
{t=(0,42)/2
[ {-1,88x+6,09=14x-10,84
{y=-9x+29,16
{t=4,79
[ {-42,86x-51,62= 14x+10,84
{y=-9x+10,84
{t=0,21
[ {15,88x= 16.93
{y=-9x+29,16
{t=4,79
[ {56,86x=-62,46
{y=-9x+10,84
{t=0,21
[ {x=1,07
{y=19,53
{t=4,79
[ {x=-1,1
{y=20,74
{t=0,21