Maple da differensial tenglamalar

IV.9. Koshi masalalarini yechish
Ushbu



boshlang‘ich masalani (Koshi masalasini) yechaylik. Buning uchun

Maple da quyidagicha ish tutish mumkin:

> deq2 := D(D(y))(x) + 3*D(y)(x) + 2*y(x) = 0;



> init_con := y(0)=0, D(y)(0)=1;



> dsolve( {deq2, init_con} , {y(x)} );

Endi ushbu

boshlang‘ich masalani yechaylik:

> sys:={diff(x(t),t)=y(t),diff(y(t),t)=-x(t)};



> IC := {x(a)=A,diff(x(a),a)=B};



> yechim:=dsolve(sys union IC,{x(t),y(t)});





Soddalashtirishlarni bajaramiz:

> combine(yechim);



Kosinusning juft, sinusning toq ekanligini hisobga olib, qo‘yilgan masala yechimini quyidagicha yozamiz:

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