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- A differential equation or a system of equations.
- A function \( y(x) \).
- Any specific details on boundary conditions or constraints.

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Solve the differential equation given by \( \frac{d^2y}{dx^2} = -y \) subject to the initial conditions y(0) = 1 and \( \frac{dy}{dx}(0) = 0 \).

Learn how to solve the second-order differential equation \( \frac{d^2y}{dx^2} = -y \) with initial conditions y(0) = 1 and \( \frac{dy}{dx}(0) = 0 \). This problem covers key concepts in differential equations and initial value problems, suitable for undergraduate calculus students.

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