dsolve - Unable to find implicit solution
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>> syms y(t)
>> eqn = diff(y) == y+exp(-y)
eqn(t) =
diff(y(t), t) == exp(-y(t)) + y(t)
>> sol = dsolve(eqn)
Warning: Unable to find explicit solution. Returning implicit
solution instead.
> In dsolve (line 197)
sol =
lambertw(0, -1)
>> sol = dsolve(eqn,'Implicit',true)
Error using char
Conversion to char from logical is not possible.
Error in dsolve>mupadDsolve (line 274)
if isvarname(char(args{end}))
Error in dsolve (line 183)
sol = mupadDsolve(args, options);
1 个评论
Walter Roberson
2020-7-18
Which release are you using? When I dsolve() I do not get the warning for the first case, and the second case does not give me an error (but the result is a bit odd)
回答（1 个）
Star Strider
2020-7-18
That is not very illumiunating.
Try this:
syms y(t) T Y
eqn = diff(y) == y+exp(-y);
[VF,Subs] = odeToVectorField(eqn);
eqnfcn = matlabFunction(VF, 'Vars',{T,Y});
[t,y] = ode45(eqnfcn, [0 1], 1);
figure
plot(t, y)
grid
Choose appropriate values for the time interval ([0 1] here) and initial condition (here 1).
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2020-7-18
2020-7-18
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