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- Homogeneous Equations with Constant Coefficients
- Solutions Of Linear Homogeneous Equation
- Complex Roots Of The Characteristic Equation
- Repeated Roots; Reduction Of Order
- Non Homogeneous Equations; Method Of Undetermined Coefficients
- Variation Of Parameters
- Cauchy – Euler Equation25:15
- Greens Functions40:32
- Reduction Of Order48:55
- Solving Systems Of Linear DE By Elimination57:53
- Preliminary Theory-Linear Equations52:15

$$\begin{equation}

\begin{array}{ccc}{x} & {y} & {f(x, y)=y^{\prime}} \\ {0} & {0} & {0} \\ {0.1} & {0} & {0.1} \\ {0.2} & {0.01} & {0.22} \\ {0.3} & {0.022} & {0.344} \\ {0.4} & {0.0344}\end{array}

\end{equation}$$

$$y^{\prime}=0+2(0)=0$$

$$y^{\prime}=0.1+2(0)=0.1$$

$$y^{\prime}=0.2+2(0.01)=0.2+0.02=0.22$$

$$y^{\prime}=0.3+2(0.022)$$

$$\quad=0.3+0.044$$

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