- #1
Mugged
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How do i solve this ODE, anyone have any ideas?
[tex] \frac{dv}{dt} = g - \frac{b}{m}*v^2 [/tex]
[tex] \frac{dv}{dt} = g - \frac{b}{m}*v^2 [/tex]
Mugged said:yep they are constants. I made an attempt on this problem and got a function that includes the tan function. so i think I am ok
The order of an ODE is determined by the highest derivative present in the equation. For example, if the equation contains a first derivative, it is a first-order ODE. If it contains a second derivative, it is a second-order ODE.
Initial conditions are the values of the dependent variable and its derivatives at a specified point in the independent variable. They are used to uniquely determine a solution to the ODE.
No, not all ODEs have analytical solutions. Some ODEs may require numerical methods to find a solution.
A separable ODE is one where the dependent variable and independent variable can be separated on opposite sides of the equation. To solve, you would integrate both sides and then solve for the dependent variable.
An explicit solution is one where the dependent variable is explicitly written in terms of the independent variable. An implicit solution is one where the dependent variable is not explicitly written, but can be found by solving the equation for the dependent variable.