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geowills
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What is dx/dt = -(2x)/(50+t) if you solve for x solely in terms of t? I tried to rearrange to make it separable but keep getting stuck.
geowills said:What is dx/dt = -(2x)/(50+t) if you solve for x solely in terms of t? I tried to rearrange to make it separable but keep getting stuck.
The notation "dx/dt" represents the derivative of the function x with respect to t. In other words, it represents the rate of change of x with respect to t.
To solve for x in this equation, you can use the separation of variables method. This involves isolating all terms with x on one side of the equation and all terms with t on the other side. Then, you can integrate both sides to find the solution for x.
The negative sign indicates that the rate of change of x is decreasing with respect to t. This means that as t increases, x decreases at a certain rate. In other words, the function x(t) is decreasing over time.
No, this equation cannot be solved using a calculator. It requires techniques from calculus, specifically integration, to find the solution for x.
Yes, this type of equation is commonly used in various fields such as physics, engineering, and economics. It represents a relationship between two variables where one variable is changing at a certain rate with respect to the other variable.