Examples of using Differential equation in English and their translations into Turkish
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And this is actually a separable differential equation in and of itself.
The differential equation must be at least first-order.
Now, all of the sudden, I have a non-linear differential equation.
Because this is a second order differential equation.
Introduction==The wave equation is a hyperbolic partial differential equation.
And I think this is a good place to just at least understand what a differential equation is, and what its solution means.
So we verified that for this function, for y1 is equal to e to the minus 3x, it satisfies this differential equation.
If any two functions are solutions to Laplace's equation(or any linear homogeneous differential equation), their sum(or any linear combination)
Similarly, a differential equation is said to be linear if it can be written with linear differential operators, but it can still have nonlinear expressions in it.
So since we have a polynomial here that makes this differential equation nonhomogeneous, let's guess that a particular solution is a polynomial.
But given this differential equation, to get to the solution,
An exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used in physics and engineering.
The 17-year-old Enrico Fermi chose to derive and solve the partial differential equation for a vibrating rod, applying Fourier analysis.
And then you get the general solution for this fairly intimidating-looking second order linear nonhomogeneous differential equation with constant coefficients.
now that you hopefully have a grasp of what a differential equation is, and what its solution is.
Definitions==Because this is a second-order differential equation, there must be two linearly independent solutions.
we were able to get a fairly fancy solution to this second order linear nonhomogeneous differential equation with constant coefficients.
I don't like using vowels. Let's say j. Let's say j is a particular solution to this differential equation.
And in order for this to have been an exact differential equation, the partial of this with respect to y would have to equal the partial of this with respect to x.
We found two solutions, because we found two you suitable r's that make this differential equation true.