First-Order Differential Equation for Motion
If velocity is given as a function of position:
$$v=\frac{dx}{dt}=f(x)$$
then:
$$dt=\frac{dx}{f(x)}$$
Usage
- Used to determine time or position when velocity depends on position.
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CAT Formulas
Differential Equations
First-Order Differential Equation for Motion
First-Order Differential Equation for Motion
If velocity is given as a function of position:
$$v=\frac{dx}{dt}=f(x)$$
then:
$$dt=\frac{dx}{f(x)}$$
Usage
- Used to determine time or position when velocity depends on position.
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