Simple ODE can't be solve by dsolve

Hello,

I'm trying to solve the following differential equation:

dx2/dt = (-x2/0.19) + (x3/12)

Both x2 and x3 are functions of time t.

My code is the following one:

syms x2(t)
syms x3(t)
vgl = (diff(x2, t) == -(x2(t)/0.19) + (x3(t)/12));
bvw = (x2(0) == 0);
Sopl(t) = dsolve(vgl, bvw)

I get the following error: Attempt to execute SCRIPT dsolve as a function: C:\Users\Gebruiker\Desktop\dsolve.m

Error in qsfdqsf (line 5) Sopl(t) = dsolve(vgl, bvw)

What do I do wrong?

Answer 1

[Birdman]

Probably you have a script named dsolve.m in your current directory and it is shadowing the function dsolve. Change the name of that script.

[Sam]

I get the following solution:

Sopl(t) =

exp(-(100*t)/19)*int((exp((100*x)/19)*x3(x))/12, x, 0, t, 'IgnoreSpecialCases', true, 'IgnoreAnalyticConstraints', true)

What does that mean? the ignore speciale cases and stuff?

[Birdman]

By those two properties, dsolve does not apply simplifications to produce simpler solutions therefore the results you have are more complete.

[Karan Gill]

The result is expected because you solved one ODE for 2 unknown functions. So you got an expression for one unknown in terms of the other unknown.