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Solve the following Boundary Value Problem y+y=0, y(0)=0, y()=1.

Solve the following Boundary Value Problem y′′+y=0, y(0)=0, y′(π)=1.
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Given that
y +y =0
So Auxilliary Equation is m2 + 1 = 0 hence m = ±i and Hence General
Solution is
y (x) = a cos x + b sin x
Now we have to calculate a and b. let us calculate y (x) = −a sin x +...

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