Maple dasturi yordamida oddiy differensial tenglamalarni yechish
Maple da berilgan differensial tenglamani yechish uchun dsolve operatoridan foydalaniladi:
dsolve(ODE)
dsolve(ODE, y(x), options)
dsolve({ODE, ICs}, y(x), options)
Bu yerda
ODE - oddiy differensial tenglama, yoki tenglamalar sistemasi
y(x) - topilishi kerak bo’lgan bir o’zgaruvchining funksiyasi
ICs - boshlang’ich shartlar y(a)=b, D(y)(c)=d, ..., bu yerda {a, b, c, d} o’zgarmas sonlar
options - (optional) xossalar, differensial tenglamani yechish usullari misol uchun, series yoki method=laplace.
Masalan, ushbu differensial tenglamani yeching:
> ode:=diff(y(x),x$2)+2*diff(y(x),x)+5*y(x)=0;
> dsolve(ode);
Ko’rilgan differensial tenglama uchun boshlang’ich shartni beraylik
> bsh:=y(0)=0,D(y)(0)=1;
> dsolve({ode,bsh});
Yechimni qator ko’rinishida qidirish ham mumkin:
> dsolve({ode,bsh},y(x),type=series);
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