Examples of using Differential equation in English and their translations into Korean
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Picard also discovered a group, now called the Picard group, which acts as a group of transformations on a linear differential equation.
In 1886 Peano proved that if f(x, y) is continuous then the first order differential equation dy/dx= f(x, y) has a solution.
In 1898 Osgood published an important paper on the solutions of the differential equation dy/dx= f(x,
Integration with new Mathematica features such as plot legends and hybrid differential equation capabilities And more.
The differential equation solvers in MATLAB® cover a range of uses in engineering and science.
However, even though r= 0 formally satisfies the differential equation, it clearly does not satisfy the initial condition r(π)= 2.
He replaced the differential operator d/dx by a variable p transforming a differential equation into an algebraic equation. .
Solve the following second-order differential equation subject to the given homogeneous boundary conditions.
The Clapeyron relation, a differential equation which determines the heat of vaporisation of a liquid, is named after him.
curve, or however you want to call it, is the solution to our original homogeneous first order differential equation.
so that the differential equation is equivalent to a simple integral, then RK4 is Simpson's rule.
After finding the differential equation, Bernoulli then solved it by what we now call separation of variables.
So a differential equation is linear if all of the functions and its derivatives are essentially, well for lack of a better word, linear.
This might be the first differential equation you see in your life, so it's a momentous occasion.
In May 1690 in a paper published in Acta Eruditorum, Jacob Bernoulli showed that the problem of determining the isochrone is equivalent to solving a first-order nonlinear differential equation.
for y1 is equal to e to the minus 3x, it satisfies this differential equation.
But any constant there will satisfy the original differential equation, which was up here.
They were An existence theorem for a differential equation of the second order,
Riemann 's problem, concerning the existence of a linear differential equation of the Fuchsian class with prescribed regular singular points
In a series of papers(1880-81) Fuchs studied functions obtained by inverting the integrals of solutions to a second-order linear differential equation in a manner generalising Jacobi 's inversion problem.