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In[]:=

sol=NDSolve[{32f'[t]==Exp[Cos[t]-f[t]-f'[t]-f''[t]]-1,f[0]==f[2Pi],f'[0]==f'[2Pi]},f,{t,0,2Pi},Method->{"EquationSimplification"->"Residual"}];Plot[f[t]/.sol,{t,0,2Pi}]

NDSolve

:Differential-algebraic equations must be given as initial value problems.

NDSolve

:0.000128356 cannot be used as a variable.

ReplaceAll

:NDSolve32

′

[0.000128356]-1+

1.+Times[2]+Times[2]+Times[2]



,f[0]f[2π],

′

[0]

′

[2π],f,{0.000128356,0,2π},Method{EquationSimplificationResidual} is neither a list of replacement rules nor a valid dispatch table, and so cannot be used for replacing.

NDSolve

:0.000128356 cannot be used as a variable.

ReplaceAll

:NDSolve32.

′

[0.000128356]-1.+

1.+Times[2]+Times[2]+Times[2]

2.71828

,f[0.]f[6.28319],

′

[0.]

′

[6.28319],f,{0.000128356,0.,6.28319},Method{EquationSimplificationResidual} is neither a list of replacement rules nor a valid dispatch table, and so cannot be used for replacing.

NDSolve

:0.128357 cannot be used as a variable.

General

:Further output of NDSolve::dsvar will be suppressed during this calculation.

ReplaceAll

:NDSolve32

′

[0.128357]-1+

0.991774+Times[2]+Times[2]+Times[2]



,f[0]f[2π],

′

[0]

′

[2π],f,{0.128357,0,2π},Method{EquationSimplificationResidual} is neither a list of replacement rules nor a valid dispatch table, and so cannot be used for replacing.

General

:Further output of ReplaceAll::reps will be suppressed during this calculation.

Out[]=