matlab求下列常微分方程的数值解

Question

如题所述

Answer 1

该常微分方程的数值解可以使用ode45函数求解得到。

>> fun=@(x,y)[y(2);-4/x-2*y(1)/x^2];

>> [x,y]=ode45(fun,[1,10],[2,-3])

>> plot(x,y)

>>xlabel('x');ylabel('y(x)，y‘(x)');

Answer 2

y=dsolve('x^2*D2y+4*x*Dy+2*y=0' , 'y(1)=2 ,Dy(1)=-3' , 'x')

Answer 3

y=dsolve('x^2*D2y+4*x*Dy+2*y=0' , 'y(1)=2 ,Dy(1)=-3' , 'x')

Answer 4

y=dsolve('x^2*D2y+4*x*Dy+2*y=0' , 'y(1)=2 ,Dy(1)=-3' , 'x')

Answer 5

y=dsolve('x^2*D2y+4*x*Dy+2*y=0' , 'y(1)=2 ,Dy(1)=-3' , 'x')