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What is the differential pressure calculation formula used to determine the pressure difference between two points in a system?
The formula to calculate differential pressure is P P2 - P1, where P is the pressure difference, P2 is the pressure at the second point, and P1 is the pressure at the first point.
What is the difference between first order and second order systems in control theory?
In control theory, the main difference between first order and second order systems lies in their response to input signals. First order systems have a single energy storage element, such as a capacitor or inductor, and their response to input signals is characterized by a first-order differential equation. These systems have a slower response time and exhibit a single exponential decay or growth in their output. On the other hand, second order systems have two energy storage elements and their response is governed by a second-order differential equation. These systems have a faster response time compared to first order systems and can exhibit oscillatory behavior in their output response. In summary, the key distinction between first order and second order systems in control theory is their complexity and response characteristics, with second order systems generally having a faster and more dynamic response compared to first order systems.
What is the time difference between a nano second and a second?
A nano second is 1 billionth of a second. So there are 999,999,999 nano seconds difference between a second and a nanosecond
What is parabolic heat equation?
The parabolic heat equation is a partial differential equation that models the diffusion of heat (i.e. temperature) through a medium through time. More information, including a spreadsheet to solve the heat equation in Excel, is given at the related link.
How is the heat equation derived?
The heat equation is derived from the principles of conservation of energy and Fourier's law of heat conduction. It describes how heat is transferred through a material over time. The equation is a partial differential equation that relates the rate of change of temperature to the second derivative of temperature with respect to space and time.
What is an Airy equation?
An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.
What is second order differential equation?
The highest order of derivative is 2. There will be a second derivative {f''(x) or d2y/dx} in the equation.
What is the Order of a differential equation?
The order of a differential equation is a highest order of derivative in a differential equation. For example, let us assume a differential expression like this. d2y/dx2 + (dy/dx)3 + 8 = 0 In this differential equation, we are seeing highest derivative (d2y/dx2) and also seeing the highest power i.e 3 but it is power of lower derivative dy/dx. According to the definition of differential equation, we should not consider highest power as order but should consider the highest derivative's power i.e 2 as order of the differential equation. Therefore, the order of the differential equation is second order.
What does the second order differential equation represent graphically?
actually it represents the concavity or convexity of a curve
What do you do if the second difference in a quadratic equation is 1?
The second difference of a quadratic equation being one indicates the second derivative at that point is positive. What you do from there depends on what property or transformation you're looking for with respect to the equation.
What is the difference between a algebraic equation and a monomial?
The first is an equation which may contain any powers of the variable - including fractional powers. The second is a single term.
What is the differential pressure calculation formula used to determine the pressure difference between two points in a system?
The formula to calculate differential pressure is P P2 - P1, where P is the pressure difference, P2 is the pressure at the second point, and P1 is the pressure at the first point.
Collocation method for second order differential equation?
The collocation method for solving second-order differential equations involves transforming the differential equation into a system of algebraic equations by selecting a set of discrete points (collocation points) within the domain. The solution is approximated using a linear combination of basis functions, typically polynomial, and the coefficients are determined by enforcing the differential equation at the chosen collocation points. This approach allows for greater flexibility in handling complex boundary conditions and non-linear problems. The resulting system is then solved using numerical techniques to obtain an approximate solution to the original differential equation.
What are the degrees of differential equation?
The degree of a differential equation is the POWER of the derivative of the highest order. Using f' to denote df/fx, f'' to denote d2f/dx2 (I hate this browser!!!), and so on, an equation of the form (f'')^2 + (f')^3 - x^4 = 17 is of second degree.
What is the difference between first order and second order systems in control theory?
In control theory, the main difference between first order and second order systems lies in their response to input signals. First order systems have a single energy storage element, such as a capacitor or inductor, and their response to input signals is characterized by a first-order differential equation. These systems have a slower response time and exhibit a single exponential decay or growth in their output. On the other hand, second order systems have two energy storage elements and their response is governed by a second-order differential equation. These systems have a faster response time compared to first order systems and can exhibit oscillatory behavior in their output response. In summary, the key distinction between first order and second order systems in control theory is their complexity and response characteristics, with second order systems generally having a faster and more dynamic response compared to first order systems.
Why euler method for solving first and second order differential equation is not preferred when compared with rungeekutta method?
"http://wiki.answers.com/Q/Why_euler_method_for_solving_first_and_second_order_differential_equation_is_not_preferred_when_compared_with_rungeekutta_method"
Difference between first and second shifting theorem?
Difference between first shifting and second shifting theorem
