We consider the Boundary Value Problem : u'(x)+u(x)=f(x), 0<x<1 u(0)-eu(1)=a ,a is real number kai f...

We consider the Boundary Value Problem :

u'(x)+u(x)=f(x), 0<x<1

u(0)-eu(1)=a

,a is real number kai f is continue in [0,1].

1. Find a a necessary and sufficient condition ,that Boundary value problem is solvabled.

2. Solve the Boundary value problem with a=0.

Expert Solution

Colby Messinger answered 1 month ago

u'' + sinu = sinx (-1<x<1) u(-1)=1, u'(1)=0 solve this boundary value problem.

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