**All content in “First order differential equations”**

**Intro to differential equations**

**Finding particular linear solution to differential equation**

**Introduction to differential equations and initial value problems**

**Slope field to visualize solutions**

**Differential equation from slope field**

**Separable differential equations introduction**

**Old separable differential equations introduction**

**Modeling with differential equations**

**Modeling population with simple differential equation**

**Particular solution given initial conditions for population**

**Newton’s Law of Cooling**

**Applying Newton’s Law of Cooling to warm oatmeal**

**Logistic differential equation and function**

**Modeling population as an exponential function**

**Logistic differential equation intuition**

**Solving the logistic differential equation part 1**

**Solving the logistic differential equation part 2**

**Logistic function application**

**Euler’s method**

**Euler’s method program code**

**Example Euler’s method exercise**

**Exact equations and integrating factors**

**Exact equations intuition****Exact equations example****Exact equations example****Integrating factors****Homogeneous equations**

**First order homogenous equations**

**First order homogeneous equations 2**

**All content in “Second order linear equations”**

**2nd order linear homogeneous differential equations 1**

**2nd order linear homogeneous differential equations 2**

**2nd order linear homogeneous differential equations 3**

**2nd order linear homogeneous differential equations 4**

**Complex and repeated roots of characteristic equation**

**Complex roots of the characteristic equations 1**

**Complex roots of the characteristic equations 3**

**Repeated roots of the characteristic equation**

**Repeated roots of the characteristic equations part 2**

**Method of undetermined coefficients**

**Undetermined coefficients 1**

**Undetermined coefficients 2**

**Undetermined coefficients 3**

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**All content in “Laplace transform”**

**Laplace transform 2**

**L{sin(at)}) – transform of sin(at)**

**Properties of the Laplace transform**

**Laplace transform of t^n: L{t^n}**

**Laplace transform of the unit step function**

**Dirac delta function**

**Laplace transform of the dirac delta function**

**Laplace transform to solve a differential equation**

**Laplace transform to solve an equation**

**Laplace transform solves an equation 2**

**Using the Laplace transform to solve a nonhomogeneous eq**

**Introduction to the convolution**