# Je Suis DIFFÉRENT

Calculus Level 4

Find $$J''(0)$$ if $$xJ''(x)+J'(x)+xJ(x)=0$$ for all x $$J(0)=1$$ and $$J\prime \prime \prime (0)$$ exists

$$J'''(x)$$, $$J''(x)$$, $$J'(x)$$ are the third, second and first derivative of the function $$J(x)$$

(Bilkent University, 1st Midterm Question)

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