Maple da differensial tenglamalar

>ode_L := (1+sin(x))*diff(y(x),x)-cos(x)*y(x)=0;



>dsolve(ode_L, [linear], useInt);



Bu yerdagi integralni hisoblash ham mumkin:

>value(%);



Yechilgan bu tenglamani o‘zgaruvchilarni ajratib ham yechish mumkin (useInt –integrallarni hisoblamaslik uchun

ko‘rsatma):

dsolve(ode_L, [separable], useInt);



Agar kerak bo‘lsa, bu yerdagi integrallarni hisoblaymiz:

>value(%);

Integrallovchi ko‘paytuvchi (intfactor)ni topishimiz ham mumkin. intfactor buyrug‘i DEtools paketida. Shuning uchun buyruqni to‘la ko‘rinishda yozamiz:

>mu := DEtools[intfactor](ode_L);



Tenglamani integrallovchi ko‘paytuvchiga ko‘paytirib, uni to‘la differensialli tenglama sifatida yechish uchun quyidagi buyruqni berish kerak:

>dsolve( mu*ode_L, [exact]);