How graph second order differential equations with Matlab?

Looking to get some help on how to use matlab to solve the following equation problem 6, all help is appreciated! Thank You! I haven't used matlab in 2 years very rusty, image is reference to original problem statement.
4y"-20y'+25y=0
%%PROBLEM 6
clear; syms y(x)
ode = 4*diff(y,x,2) - 20*diff(y,x) + 25*y == 0;
%ySol(x) = dsolve(ode)
%ezplot('ode')
ySol = dsolve(ode, y(0) == 0)
figure
subplot(2,1,1)
ezplot(real(ySol(1)))
subplot(2,1,2)
ezplot(imag(ySol(1)))
ERROR
Warning: Contour not rendered for constant ZData
> In contour (line 52)
In ezplot>ezimplicit (line 315)
In ezplot (line 153)
In sym/ezplot (line 61)

 採用された回答

Star Strider
Star Strider 2018 年 1 月 18 日

1 投票

The problem is that you need to define an initial condition for the first derivative.
Try this:
syms y(x)
Dy = diff(y);
D2y = diff(y,2);
ode = 4*D2y - 20*Dy + 25*y == 0;
ySol = dsolve(ode, y(0) == 0, Dy(0) == 1) % Define The Initial Condition For ‘Dy(0)’ To Be ‘Some Value’
figure
ezplot(ySol)

3 件のコメント

jake thompson
jake thompson 2018 年 1 月 18 日
Thank you again!
Star Strider
Star Strider 2018 年 1 月 18 日
As always, my pleasure!
Hamid Ghassri
Hamid Ghassri 2019 年 7 月 8 日
編集済み: Hamid Ghassri 2019 年 7 月 8 日
how can you set a range for x

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