L, R, and C are constants. You are differentiating with respect to time and the constants don't vary.Calpalned said:
Why did you ignore the template? You even went through the trouble to change the font color.Calpalned said:
I see... If I look at the original equation (1.2) has ##\frac{dI}{dt}## and that tells me that I is not a consant?LCKurtz said:
Actually, it helps to understand something of the physics behind this problem.Calpalned said:
The example was on differential equations in general, so the textbook didn't give me background information on the physics.SammyS said:
You could use the product rule, differentiating the product RI w.r.t. time. What result would you get?Calpalned said:
The constant of differentiation, also known as the arbitrary constant, is a constant value that is added to the derivative of a function. It is denoted by the letter "C" and is used to account for all possible solutions of the derivative equation.
The constant of differentiation is important because it allows us to find the general solution to a derivative equation. Without it, we would only have a specific solution that may not apply to all cases. It also helps us to understand the behavior of a function and its derivatives.
The constant of differentiation is determined by integrating the derivative of a function. This process is known as anti-differentiation or finding the indefinite integral. The constant value is then added to the resulting function.
Yes, the constant of differentiation can be negative. It can take on any real value, including positive, negative, or zero. The value of the constant depends on the specific problem and cannot be determined without additional information.
No, the constant of differentiation can vary for different functions. Each function has its unique constant value that must be determined through integration. However, in some cases, the constant may cancel out when solving for a particular solution.