- #1

Dimitris Papadim

- 4

- 0

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- I
- Thread starter Dimitris Papadim
- Start date

- #1

Dimitris Papadim

- 4

- 0

- #2

- 5,695

- 2,473

They have many applications in almost all areas of physics.

For example in physics-electric circuits the differential equation that governs the behaviour of a RLC circuit with a resistor of ohmic resistance R, Capacitor of capacitance C and inductor of inductance L, all in series, which is driven by a voltage source V(t) is given by ##\frac{q}{C}+R\frac{dq}{dt}+L\frac{d^2q}{dt^2}=V(t)##. q(t) is the charge of the capacitor C at time t.

Another example in physics-mechanics, the damped harmonic oscillator with mass m, spring constant k, and damping coefficient c, that is driven by an external force F(t) follows the 2nd order linear ordinary differential equation:

##m\frac{d^2x}{dt^2}+c\frac{dx}{dt}+kx=F(t)##. x(t) is the displacement of mass m at time t.

For example in physics-electric circuits the differential equation that governs the behaviour of a RLC circuit with a resistor of ohmic resistance R, Capacitor of capacitance C and inductor of inductance L, all in series, which is driven by a voltage source V(t) is given by ##\frac{q}{C}+R\frac{dq}{dt}+L\frac{d^2q}{dt^2}=V(t)##. q(t) is the charge of the capacitor C at time t.

Another example in physics-mechanics, the damped harmonic oscillator with mass m, spring constant k, and damping coefficient c, that is driven by an external force F(t) follows the 2nd order linear ordinary differential equation:

##m\frac{d^2x}{dt^2}+c\frac{dx}{dt}+kx=F(t)##. x(t) is the displacement of mass m at time t.

Last edited:

Share:

- Replies
- 2

- Views
- 226

- Last Post

- Replies
- 7

- Views
- 801

- Last Post

- Replies
- 4

- Views
- 1K

- Replies
- 10

- Views
- 1K

- Replies
- 5

- Views
- 323

- Last Post

- Replies
- 1

- Views
- 711

- Replies
- 5

- Views
- 910

- Replies
- 1

- Views
- 403

- Replies
- 4

- Views
- 4K

- Last Post

- Replies
- 12

- Views
- 901