green's functions are new to me so i'm struggling with these how does one use green's method to solve: -(K(x)u')'=f(x), 0<x<1; u(0)=u(1)=0; K(x)>0 thank you
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Originally Posted by morganfor green's functions are new to me so i'm struggling with these how does one use green's method to solve: -(K(x)u')'=f(x), 0<x<1; u(0)=u(1)=0; K(x)>0 thank you To find a green's function first solve the homogenous problem Now using this we need to find functions that satisfy the boundary conditions. and Now we take the Wronskian to get times k(x) So our Greens function is Can you finish from here?
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