Expand((a+b) 2); #Mardonov Qahramon

indents()

Agar ifodadan ko’rsatilgan turdagi qismiy ifodani ajratib olish kerak bo’lsa, indents() komandasi qo’llaniladi.

> p:=(a*sin(sqrt(x))-b^2)*ln(x)-5; #Mardonov Qahramon

> indents(p,`*-/+`);

invfunction()

Maple tizimining o’ziga xos jihatlaridan biri, uning tarkibida mate-matikadagi barcha standart va maxsus funksiyalar mavjud. Bu funksiyalarning ro’yxati va ular to’g’risida ma’lumotni ? inifunction komandasi yordamida olish mumkin.
> invfunc();

power()

Komandaning aynan bir funksiyalar sinfiga nisbatan soddalashtrish variantlari: simplify/sqrt, simplify/exp, simplify/ln, simplify/trig, simplify/radical, simplify/power va h.k. lar to’g’risida ma’lumot olish uchun kerakli variantni yozib, kursorni uning ostiga keltirib, F1 tugmani bosish kerak.

> combine(4^a*6^b*12^c*5^d,power); #Mardonov Qahramon

> combine(4^a*6^b*12^c*5^d);

2-topshiriq

Mustaqil ish ishi topshirig’i ko’rsatmada ko’rsatilgani kabi bajariladi. Bunda tenglamalar sistemasi ko’rsatmada ko’rsatilganidek 2 ta usul bilan hamda matritsali tenglama yechiladi.

1.

> restart;
> with(Student[LinearAlgebra]):
> eq:={2*x1-6*x2+2*x3+2*x4=12, x1+5*x2+7*x3+7*x4=12, 3*x1+5*x2+7*x3+x4=0, 5*x1+7*x2+x3+3*x4=4}:
> solve(eq,{x1, x2, x3, x4});

2.

> restart: #Mardonov Qahramon
> eq:={3*x+4*y+2*z=8, 2*x-y-3*z=-1, x+5*y+z=0}:
> solve(eq,{x,y,z});

3.

> A:=<<2,4,-1>|<3,5,0>|<-1,2,7>>: #Mardonov Qahramon
> B:=<<-1,2,0>|<0,1,-2>|<5,3,4>>:
> X:=A^(-1).B;

3-topshiriq

Mapleda differensial tenglamalarni yechish funksiyalari.
Quyidagi Koshi masalasini sonli va darajali qatorga yoyish orqali yechimini aniqlang va bir tekislikda ikkala yechim grafigini chizing.:

> restart:

> eq:=diff(y(x),x$2)=x*diff(y(x),x); #Mardonov Qahramon


> cond:={y(0)=1,diff(y(0),x)=2};

> dsolve({eq,cond},y(x));
Error, (in dsolve) invalid arguments

>