# Try This One on for Size

Calculus Level 3

$\frac{\textrm{d}^2y}{\textrm{d}x^2}+\frac{\textrm{d}y}{\textrm{d}x}=0; \: \: \: y(i \pi)=0 \:\:\: \textrm{and} \:\:\: y \; '( \ln 2)=1$

The solution to the above second-order differential equation can be determined as $$y= f(x)$$.

It is known that the function evaluated at $$\ln 4$$ can be written as

$f( \ln 4)= -\frac{a}{b}$

Determine the value of $$a+b$$

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