Solving for Boundary Conditions for Second-Order Homogenous ODEs with Constant Coefficients

Second order ODEs require that two conditions  to generate a particular solution.



Example of y(0) = 0 and y(L)=1:



Write the resulting solution:



Second example:  y(0) = 1 and y'(0)=0



Now the constants CPlus and CMinus are found by solving:





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