用matlab解:y=dsolve('D2y+exp(-t)*Dy-sin(sqrt(t))*y=exp(-t)*sin(sqrt(t))','y(0)=1,Dy(0)=-2','t')

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用matlab解:y=dsolve('D2y+exp(-t)*Dy-sin(sqrt(t))*y=exp(-t)*sin(sqrt(t))','y(0)=1,Dy(0)=-2','t')

用matlab解:y=dsolve('D2y+exp(-t)*Dy-sin(sqrt(t))*y=exp(-t)*sin(sqrt(t))','y(0)=1,Dy(0)=-2','t')
用matlab解:y=dsolve('D2y+exp(-t)*Dy-sin(sqrt(t))*y=exp(-t)*sin(sqrt(t))','y(0)=1,Dy(0)=-2','t')

用matlab解:y=dsolve('D2y+exp(-t)*Dy-sin(sqrt(t))*y=exp(-t)*sin(sqrt(t))','y(0)=1,Dy(0)=-2','t')
此微分方程没有显式解,建议用数值解法
 
 
function dyy=xielei(t,y)           %   保存为 xielei.m  文件
dyy=[y(2);-exp(-t)*y(2)+sin(sqrt(t))*y(1)+exp(-t)*sin(sqrt(t))];
--------------------------------------------
 
运行以下:
clear;clc
y0=[1;-2];
[t,y]=ode45('xielei',[0 5],y0);
plot(t,y(:,1),t,y(:,2))



 

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