f '' (t) +f (t) = tan(2t)

Raymond L. answered • 05/20/15

Tutor

4.8 (33)

Math, SAT Math, Physics, C#, ASP.NET Core

It is a second order non-homogenous differential equation.

You can use Variation of Parameter.

Wroskain is 1

The solution is f(t)=acos(t)+bsin(t)-(1/2)*sqrt(2)*(cos(x)*arctanh(sin(x)*sqrt(2))-sin(x)*arctanh(cos(x)*sqrt(2))), for arbitrary constnat a and b.

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