ode(t) =
Error while outputting graph
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Hello! Im currently running into a problem with getting my code to output my graph after updating to the most recent version of Matlabs and im unsure as to how to fix this as copilot seemingly is also not very helpful and im unsure how calling for subs works. Any help + explanation is greatly appreciated, thank you in advance!
Current Code:
syms y(t)
dy = diff(y)
dy2 = diff(dy)
ode = dy2 - dy == 2*t^2 - t - 5
ysol(t) = dsolve(ode)
c1 = 0;
c2 = 0;
ysol1(t) = subs(ysol(t) + c1*exp(t) + c2*t*exp(t))
c1 = -1;
c2 = -1;
ysol2(t) = subs(ysol + c1*exp(t) + c2*t*exp(t))
c1 = 3;
c2 = 3;
ysol3(t) = subs(ysol + c1*exp(t) + c2*t*exp(t))
figure
hold on
fplot(@(t) (ysol1(t)), [-2 2], '-', 'LineWidth', 1)
fplot(@(t) (ysol2(t)), [-2 2], ':', 'LineWidth', 1)
fplot(@(t) (ysol3(t)), [-2 2], '--', 'LineWidth', 1)
title('Problem One')
xlabel('t')
ylabel('Solutions')
grid on
ylim([-15 25])
legend('c1 = c2 =1 0','c1 = c2 = -1', 'c1 = c2 = 3')
Error:

Risposta accettata
Più risposte (2)
You were not calling subs correctly. I added the necessary additional arguments, and it now seems to work.
Try this ---
syms y(t) C1 C2
dy = diff(y)
dy2 = diff(dy)
ode = dy2 - dy == 2*t^2 - t - 5
ysol(t) = dsolve(ode)
c1 = 0;
c2 = 0;
ysol1(t) = subs(ysol(t) + c1*exp(t) + c2*t*exp(t), {C1,C2}, {0, 0})
c1 = -1;
c2 = -1;
ysol2(t) = subs(ysol + c1*exp(t) + c2*t*exp(t), {C1,C2}, {-1,-1})
c1 = 3;
c2 = 3;
ysol3(t) = subs(ysol + c1*exp(t) + c2*t*exp(t), {C1,C2}, {3,3})
figure
hold on
fplot(@(t) (ysol1(t)), [-2 2], '-', 'LineWidth', 1)
fplot(@(t) (ysol2(t)), [-2 2], ':', 'LineWidth', 1)
fplot(@(t) (ysol3(t)), [-2 2], '--', 'LineWidth', 1)
title('Problem One')
xlabel('t')
ylabel('Solutions')
grid on
ylim([-15 25])
legend('c1 = c2 =1 0','c1 = c2 = -1', 'c1 = c2 = 3')
.
E.g.
syms y(t)
dy = diff(y);
dy2 = diff(dy);
ode = dy2 - dy == 2*t^2 - t - 5;
ysol(t) = dsolve(ode)
s = symvar(ysol) % Now you know that C1 = s(2) and C2 = s(3)
ysol1(t) = subs(ysol,[s(2),s(3)],[0 0]) % And here you substitute C1 = 0 and C2 = 0
fplot(@(t) (ysol1(t)), [-2 2], '-', 'LineWidth', 1) % And here you plot the corresponding graph
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