如何用Matlab画隐函数(带参数)的方程三个变量:x x0 y,两个约束方程:2*(sin(x))^2*cos(x)-cos(x)+cos(x0)-sin(x0)=0y=(sin(x)-cos(x)-sin(x0)+cos(x0))*(1+ctan(x0))要画x0与y之间的曲线关系图.
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 07:23:54
![如何用Matlab画隐函数(带参数)的方程三个变量:x x0 y,两个约束方程:2*(sin(x))^2*cos(x)-cos(x)+cos(x0)-sin(x0)=0y=(sin(x)-cos(x)-sin(x0)+cos(x0))*(1+ctan(x0))要画x0与y之间的曲线关系图.](/uploads/image/z/5164333-61-3.jpg?t=%E5%A6%82%E4%BD%95%E7%94%A8Matlab%E7%94%BB%E9%9A%90%E5%87%BD%E6%95%B0%EF%BC%88%E5%B8%A6%E5%8F%82%E6%95%B0%EF%BC%89%E7%9A%84%E6%96%B9%E7%A8%8B%E4%B8%89%E4%B8%AA%E5%8F%98%E9%87%8F%3Ax+x0+y%2C%E4%B8%A4%E4%B8%AA%E7%BA%A6%E6%9D%9F%E6%96%B9%E7%A8%8B%3A2%2A%28sin%28x%29%29%5E2%2Acos%28x%29-cos%28x%29%2Bcos%28x0%29-sin%28x0%29%3D0y%3D%28sin%28x%29-cos%28x%29-sin%28x0%29%2Bcos%28x0%29%29%2A%281%2Bctan%28x0%29%29%E8%A6%81%E7%94%BBx0%E4%B8%8Ey%E4%B9%8B%E9%97%B4%E7%9A%84%E6%9B%B2%E7%BA%BF%E5%85%B3%E7%B3%BB%E5%9B%BE.)
如何用Matlab画隐函数(带参数)的方程三个变量:x x0 y,两个约束方程:2*(sin(x))^2*cos(x)-cos(x)+cos(x0)-sin(x0)=0y=(sin(x)-cos(x)-sin(x0)+cos(x0))*(1+ctan(x0))要画x0与y之间的曲线关系图.
如何用Matlab画隐函数(带参数)的方程
三个变量:x x0 y,
两个约束方程:
2*(sin(x))^2*cos(x)-cos(x)+cos(x0)-sin(x0)=0
y=(sin(x)-cos(x)-sin(x0)+cos(x0))*(1+ctan(x0))
要画x0与y之间的曲线关系图.
如何用Matlab画隐函数(带参数)的方程三个变量:x x0 y,两个约束方程:2*(sin(x))^2*cos(x)-cos(x)+cos(x0)-sin(x0)=0y=(sin(x)-cos(x)-sin(x0)+cos(x0))*(1+ctan(x0))要画x0与y之间的曲线关系图.
没有什么太好的办法.
【1】解第一个方程,用1-(cos(x))^2=(sin(x))^2
>> x=solve('2*(1-(cos(x))^2)*cos(x)-cos(x)+cos(x0)-sin(x0)=0','x')
x =
[ acos(1/6*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)+1/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3))]
[ acos(-1/12*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/2/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)+1/2*i*3^(1/2)*(1/6*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)))]
[ acos(-1/12*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/2/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/2*i*3^(1/2)*(1/6*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)))]
【2】变换ctan为1/tan
>>y='(sin(x)-cos(x)-sin(x0)+cos(x0))*(1+1/tan(x0))'
【3】替换y中的x,为x0的变量
>> y1=subs(y,'x',x)
y1 =
[ ((1-(1/6*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)+1/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3))^2)^(1/2)-1/6*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-sin(x0)+cos(x0))*(1+1/tan(x0))]
[ ((1-(-1/12*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/2/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)+1/2*i*3^(1/2)*(1/6*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)))^2)^(1/2)+1/12*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)+1/2/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/2*i*3^(1/2)*(1/6*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3))-sin(x0)+cos(x0))*(1+1/tan(x0))]
[ ((1-(-1/12*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/2/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/2*i*3^(1/2)*(1/6*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)))^2)^(1/2)+1/12*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)+1/2/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)+1/2*i*3^(1/2)*(1/6*(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3)-1/(54*cos(x0)-54*sin(x0)+6*(-6+81*cos(x0)^2-162*cos(x0)*sin(x0)+81*sin(x0)^2)^(1/2))^(1/3))-sin(x0)+cos(x0))*(1+1/tan(x0))]
【4】用ezplot分别画图
>> ezplot(y1(1))
>> ezplot(y1(2))
>> ezplot(y1(3))