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The particular solution of the initial value problem given below is

$$\frac{d^2y}{dx^2}+12\frac{dy}{dx}+36y=0\hspace{0.3cm} \text{ with } \hspace{0.3cm}y(0)=3\hspace{0.3cm} \text{ and }\hspace{0.3cm}  \frac{dy}{dx} \bigg| _{x=0} =-36$$

  1. $(3-18x)e^{-6x}$
  2. $(3+25x)e^{-6x}$
  3. $(3+20x)e^{-6x}$
  4. $(3-12x)e^{-6x}$
in Differential Equations by (15.8k points)
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