Consider, $ay{}^{\u2033}+b{y}^{\prime}+cy=0$ and $a\ne 0$ Which of the following statements are always true?

1. A unique solution exists satisfying the initial conditions$y\left(0\right)=\pi ,\text{}{y}^{\prime}\left(0\right)=\sqrt{\pi}$

2. Every solution is differentiable on the interval$(-\mathrm{\infty},\mathrm{\infty})$

3. If$y}_{1$ and $y}_{2$ are any two linearly independent solutions, then $y={C}_{1}{y}_{1}+{C}_{2}{y}_{2}$ is a general solution of the equation.

1. A unique solution exists satisfying the initial conditions

2. Every solution is differentiable on the interval

3. If