dsolve(ode, y(X)

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);