Topic — Equazioni differenziali.
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46
Linked atoms
24 linked atoms.
46 Equazioni differenziali
- Barometric formula
- Cooling of coffee
- Definition of a differential equation
- Definition of a separable equation
- Discharging RC circuit
- Exponential growth
- Harmonic oscillator
- Mass-spring with friction
- Mass-spring without friction
- Method of separation of variables
- Problem — Altitude and atmospheric pressure
- Problem — Cooling of a cup of tea
- Problem — Fall with air resistance
- Radioactive decay
- RLC circuit in free oscillation
- Solution formula for first-order linear equations
- The characteristic equation and the three cases
- The mechanical-electrical analogy
- Why differential equations are important
- Worked example y’ − y = eˣ
- Worked exercise — y’ = −2xy (the Gaussian)
- Worked exercise — y’ = 3y with y(0)=2
- Worked exercise — y’ − y = eˣ
- Worked exercise — y” + 9y = 0 with initial conditions