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What are some of the topics that our differential equations assignment helpers can assist you with?
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Ordinary differential equations (ODE): Ordinary differential equations relate a function of one variable to its derivative. The word ordinary denotes differential equations with one variable. We can write the derivative as df/dx or f of a function. It expresses the rate of change at each point. In other words, it highlights how fast the function's value increases or decreases as the variable's value increases or decreases. For a function representing a straight line, f = ax + b, its slope is its rate of change, and we can express it as f = a.
Partial differential equations (PDE): A PDE is a mathematical equation with two or more independent variables, a function that is unknown and partial derivatives. The partial differential equation's order is the order of the highest derivative. A partial differential equation's solution is a function that solves the equation. A general solution has all the solutions associated with the equation. For second and higher-order nonlinear partial differential equations, we use the term exact solution to denote a specific solution. Mathematicians use PDEs to formulate and solve real-world physical problems with several variables. Our differential equations assignment doers are knowledgeable in partial differential equations. They can handle problems based on:
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Langrage and Clairaut equation: A langrage equation has known functions that you can differentiate on a specific interval. You get the general solution of a langrage equation in a parametric form by determining it with respect to a variable. On the other hand, a Clairaut equation has a nonlinear differentiable function. It is a particular case of a Langrage equation and is solved in the same way by introducing a parameter. Our differential equations assignment experts are available round the clock, ready to assist you with your complicated Langrage and Clairaut equations.
Reduction of order: We can write a second-order differential equation in the following general format:
F (x, y, y’, y”) = 0
In the equation, F is a function of the arguments given. We can represent the differential equation in the following explicit form if we can solve it for the second derivative y”:
y” = f(x, y, y’)
There are exceptional cases when the function f on the right side of the equation mentioned above may have one to two variables. Such equations are incomplete and can be transformed into first order using specific substitutions.
Our catalog also has the following topics:
|Second-order linear nonhomogeneous differential equations with constant coefficients||Equations solvable in quadrature||Homogenous differential equations||Higher-order Euler equations|
|Eigenvalues and eigenvectors||Equilibrium points of linear autonomous systems||Method of the matrix exponential||Riccati equation|
|Bernoulli equation||Exact differential equations||Singular solutions of differential equations||Orthogonal trajectories|
|Chebyshev differential equations||Equation of catenary||Bessel differential equations||Linear homogenous systems of differential equations with constant coefficients|
There are many other topics we couldn’t include in the list because of space. Remember, our tutors are equal to any differential equation task. Feel free to contact us for quick help.
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