- #1
sara_87
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Homework Statement
i want to find the solution to:
dv/dx + 1/200 = 32/v
Homework Equations
The Attempt at a Solution
I don't know how to begin. what would be my first step?
It is indeed, so which method does one usually use for solving first order, linear ODE's?sara_87 said:first order, linear
isn't it?
I would multiply it be v first, which puts the ODE into canonical form, and then find the IF.sara_87 said:do multiply everything by v?
Differential equations are mathematical equations that describe the relationship between a function and its derivatives. They involve variables, functions, and their respective rates of change.
Differential equations are used in a variety of scientific fields, such as physics, engineering, and biology, to model and predict the behavior of systems and processes. They are also used to analyze and solve complex problems in these fields.
Ordinary differential equations involve a single independent variable, while partial differential equations involve multiple independent variables. Ordinary differential equations also have a single solution, while partial differential equations have a family of solutions.
Some simple differential equations can be solved analytically, but most require numerical methods or approximations to find a solution. The complexity of the equation and the initial conditions also play a role in determining if an analytical solution is possible.
Numerical methods, such as Euler's method or the Runge-Kutta method, are used to approximate the solution to a differential equation. These methods involve breaking the equation into smaller steps and using iterative calculations to find an approximate solution.