Please help me find the implicit solution of this problem

[Perfect]

The Question is, Solve the following initial value problem and calculate x(0.05)

x'= sec x ; x(0) = 10.

I can go all the way do the separation of variables and integrate and find the relation sin(x(t))=t+sin10.
My real problem is finding x(0.05). Please help me

 

[stapel]

The Question is, Solve the following initial value problem and calculate x(0.05)

x'= sec x ; x(0) = 10.

I can go all the way do the separation of variables and integrate and find the relation sin(x(t))=t+sin10.

Then x(t) = Arcsin(t + sin(10)). Now plug in 0.05 for t.