Second Order De

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The general solution of d²y/dx² = 0 is

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1. **Double Integration**: Treat the second derivative as a derivative of a derivative.
   - $\frac{d}{dx}(\frac{dy}{dx}) = 0$
2. **First Integral**: Integrating $0$ with respect to $x$ gives a constant ($A$).
   - $\frac{dy}{dx} = A$
3. **Second Integral**: Integrating the constant $A$ with respect to $x$ gives $Ax + B$.
   - $y = \int A \, dx = Ax + B$.
4. **Conclusion**: This is the equation of a straight line, representing all functions with zero curvature.

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