ex(c1 cos\(\sqrt{3x}\) + c2 sin \(\sqrt{3x}\)) + c3e2x is the general solution of

1
 \(\frac{d^3y}{dx^3}\) – 4 \(\frac{d^2y}{dx^2}\) + 2 \(\frac{dy}{dx}\) + 4y = 0
2
\(\frac{d^2x}{dy^2}\) + 8y = 0
3
\(\frac{d^3x}{dy^3}\) + x \(\frac{dx}{dy}\)– 3x = 0
4
\(\frac{d^2x}{dy^2}\) + 4y = 0

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