Partial differential equations are great in calculus for making multi-variable equations simpler to solve. Some problems do not have known derivatives or at least in certain levels in your studies, you don't possess the tools needed to find the derivative. So, using partial differential equations, you can break the problem up, and find the partial derivatives and integrals.
Finite Differential Methods (FDM) are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives.
When you are talking about field and line calculations, complex differential equations are sometimes the best way to represent electrical characteristics. current and voltage in AC applications is defined using differential equations. You may use derivatives in control system modelling. There are many others.
Linear equations or inequalities describe points x y that lie on a circle.
Since there are no equations following, the answer must be "none of them".
x2 + y2 = r2
In a circle, the circumference and diameter vary directly. Which of the following equations would allow you to find the diameter of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44?
This starts with the collocation circle to go through the three points on the curve. First write the equation of a circle. Then write three equations that force the collocation circle to go through the three points on the curve. Last, solve the equations for a, b, and r.
Partial differential equations are mathematical equations that involve two or more independent variables, an unknown function, and partial derivatives of the unknown function. Even the explanation is confusing! If, however, anyone chooses to learn about PDE there are classes offered at any institution of higher learning.
ODE's are equations containing a function of one independent variable and its derivatives. The term "ordinary" just means the subject excludes the use of partial derivatives. Basically, they are equations in which specific variables will be expressed as a derivative. They are used to denote the change of variables relative to the change of other variables. With an equation like y=mx+b you can write it as a differential equation by putting: y = (dy/dx)x + b but it is hardly necessary to do so because it is easy to solve.
One definition of circumference is the boundary line of a circle and is related to π and the circle's diameter by the equation π=C/D where C is the circumference and D the diameter of the circle. A second, more general definition is the boundary line of any closed curvilinear figure. Synonyms are periphery and perimeter. Two equations for the circumference of a circle are C=πD=2πr where r is the radius. To get other equations, you need to specify the closed curve for which you want the perimeter.
x2 + y2 = 9