draw othorgonal trajectories using differential equations
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to draw orthogonal trajectories am i suppose to use dfield or is ezplot as shown below on the right track
Using the Matlab draw the families of orthogonal trajectories for the following differential equation 1) dy /dx = a*x*y /(b*x^2−c*y^2 )
2) dy/ dx = −d*x /e*y
syms y(x) x y
ode = diff(y,x) == (a*x*y)/(b*x^2-c*y^2);
ysol(x) = dsolve(ode)
ezplot(y(x))
error coming up
采纳的回答
madhan ravi
2018-12-12
Not more than two variables have to be symbolic so a,b,c valyes are assigned:
syms y(x)
a=2;
b=3;
c=5;
ode = diff(y,x) == (a*x*y)/(b*x^2-c*y^2);
ysol = vpa(dsolve(ode));
ezplot(ysol(1))
hold on
ezplot(ysol(2))
ezplot(ysol(3))
更多回答（1 个）
Brenda Galabe
2018-12-12
0 个投票
5 个评论
madhan ravi
2018-12-12
It means the equation cannot be solved
Brenda Galabe
2018-12-12
madhan ravi
2018-12-13
Anytime :) , no I don't tutor anyone.
Brenda Galabe
2018-12-13
编辑：madhan ravi
2018-12-13
madhan ravi
2018-12-13
syms y(x) C5 %C5 arises in ysol change it to your constant whether C2 or etc.. doesn't matter
d= 5;
e = 8;
dydx=diff(y);
ode = dydx == (-d*x)/(e*y);
ysol = vpa(dsolve(ode));
y1=subs(ysol,C5,4);
fplot({y1(1),y1(2)})
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