MATLAB Answers

dsolve error (simultaneous differential equations)

조회 수: 2(최근 30일)
Seungwon Lee
Seungwon Lee 2020년 5월 18일
댓글: Seungwon Lee 2020년 5월 18일
clear all
close
clc
m = 10;
k = 1000;
u0 = 0.01;
syms y1 y2
f=dsolve('m*D2y1+2*k*y1-k*y2==0,m*D2y2-k*y1+2k*y2==0','y1(0)==0,Dy1(0)==0,Dy2(0)==0,y2(0)==0.01');
figure
ezplot(f,[0 100]);
I want to solve simultaneous differential equation but i have a problem solving it.
Can someone help me find whats causing error?

채택된 답변

Sulaymon Eshkabilov
Sulaymon Eshkabilov 2020년 5월 18일
Here is the answer:
clear all
close
clc
m = 10;
k = 1000;
u0 = 0.01;
syms y1(t) y2(t)
Dy1=diff(y1);
Dy2=diff(y2);
D2y1=diff(y1, 2);
D2y2=diff(y2, 2);
Eqn1=m*D2y1+2*k*y1-k*y2;
Eqn2=m*D2y2-k*y1+2*k*y2;
ICs=[y1(0)==0,Dy1(0)==0,Dy2(0)==0,y2(0)==0.01];
f=dsolve(Eqn1,Eqn2, ICs);
figure
ezplot(f.y1,[0 100]), hold on
ezplot(f.y2, [0, 100]), legend('y_1(t)', 'y_2(t)', 'location', 'best')
  댓글 수: 3
Seungwon Lee
Seungwon Lee 2020년 5월 18일
Thanks

댓글을 달려면 로그인하십시오.

추가 답변(0개)

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by