Maple da differensial tenglamalar

> ode3 := y(x)=x*diff(y(x),x)-diff(y(x),x)^3;



> yech:=dsolve(ode3);



Bu yerda berilgan tenglamaning maxsus yechimlari. Maxsus yechimning har bir nuqtasidan shu yechimdan

tashqari unga urinib boshqa bir yechim chiqadi. Maxsus yechimlar ushbu yechimlar oilasining o‘ramasidan iborat. Buni grafiklarda ko‘rsatamiz:

> yech_m1:=rhs(yech[1]);yech_m2:=rhs(yech[2]);_C1:= c:yech_um:=rhs(yech[3]);







> plot([yech_m1,yech_m2],x=0..3,title="maxsus yechimlar",color=black,scaling=constrained,thickness=1);

> c:=i/10: S:=seq(yech_um,i=-10..10): plot([S,yech_m1,yech_m2],x=0..3,color=black,scaling=constrained);

Berilgan tenglamani yechish uchun dsolve ga qaysi metoddan fodalanish kerakliligini ko‘rsatish mumkin. Quyida chiziqli ODTni yechish metodlaridan foydalanish haqida ko‘rsatma berilgan; bundan tashqari’useInt’ shartmas argunent natijalarni uchraydigan integrallarni hisoblamasdan chiqarish keraligini bildiradi