Точное эталонное аналитическое решение системы дифференциальных уравнений

Станционарная скорость

vst

r(v)-t(v)

18,3703842135

=$D$43+$E$43*A78+$F$43*A78^2-($D$55+$E$55*A78+$F$55*A78^2)

Время разгона

hv

1,8370384

V1

v1sr

1/(t(v)-r(v))

0

1,8370384

0,918519223

0,00005

3,6740769

2,755557668

0,00006

5,5111153

4,592596113

0,00008

7,3481538

6,429634559

0,00010

9,1851922

8,266673004

0,00013

11,022231

10,10371145

0,00018

12,859269

11,94074989

0,00026

14,696308

13,77778834

0,00042

16,533346

15,61482679

0,00083

18,370384

17,45186523

0,00305

0,005177548

int

137,914636926

Время разгона

hv

=(A78-0)/10

V1

v1sr

1/(t(v)-r(v))

0

=A84+$A$82

=(A85+A84)/2

=1/($D$43+$E$43*B85+$F$43*B85^2-($D$55+$E$55*B85+$F$55*B85^2))

=A85+$A$82

=(A86+A85)/2

=1/($D$43+$E$43*B86+$F$43*B86^2-($D$55+$E$55*B86+$F$55*B86^2))

=A86+$A$82

=(A87+A86)/2

=1/($D$43+$E$43*B87+$F$43*B87^2-($D$55+$E$55*B87+$F$55*B87^2))

=A87+$A$82

=(A88+A87)/2

=1/($D$43+$E$43*B88+$F$43*B88^2-($D$55+$E$55*B88+$F$55*B88^2))

=A88+$A$82

=(A89+A88)/2

=1/($D$43+$E$43*B89+$F$43*B89^2-($D$55+$E$55*B89+$F$55*B89^2))

=A89+$A$82

=(A90+A89)/2

=1/($D$43+$E$43*B90+$F$43*B90^2-($D$55+$E$55*B90+$F$55*B90^2))

=A90+$A$82

=(A91+A90)/2

=1/($D$43+$E$43*B91+$F$43*B91^2-($D$55+$E$55*B91+$F$55*B91^2))

=A91+$A$82

=(A92+A91)/2

=1/($D$43+$E$43*B92+$F$43*B92^2-($D$55+$E$55*B92+$F$55*B92^2))

=A92+$A$82

=(A93+A92)/2

=1/($D$43+$E$43*B93+$F$43*B93^2-($D$55+$E$55*B93+$F$55*B93^2))

=A93+$A$82

=(A94+A93)/2

=1/($D$43+$E$43*B94+$F$43*B94^2-($D$55+$E$55*B94+$F$55*B94^2))

=СУММ(C85:C94)

int

=110000*A82*C95