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)

 Respuesta aceptada

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 comentarios

Thank you again!
As always, my pleasure!
Hamid Ghassri
Hamid Ghassri el 8 de Jul. de 2019
Editada: Hamid Ghassri el 8 de Jul. de 2019
how can you set a range for x

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