Examples of using General solution in English and their translations into Polish
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Official
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Medicine
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Ecclesiastic
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Ecclesiastic
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Official/political
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Computer
Cramer's rule is used to derive the general solution to an inhomogeneous linear differential equation by the method of variation of parameters.
So if this is the general solution to the homogeneous equation,
And so that more general solution that we found, that we figured out that v of x is actually equal to some constant plus x times some other constant.
Maybe my general solution is just y is equal to some constant times e to the minus 2x,?
So let's see what happens when we take these two roots and we put them into our general solution.
mu i, then the general solution is going to be this.
So our more general solution is y is equal to c1 times e to the 1/2 x soon. plus c2 times xe to the 1/2 x.
just so that we can go from our general solution to our particular solution. .
once you know that this is going to be the general solution, they're pretty easy to solve.
we add to that the general solution of the homogeneous equation.
let's just say that h is the general solution for this homogeneous equation.
So we're going to focus just now on the particular solution, then we can later add that to the general solution of a nonhomogeneous equation, to get the solution. .
It is part of a general solution introducing common rules for all Member States on every type of aeroplane that enters the European Common Aviation Area without a flight plan.
That the general solution of this non-homogeneous equation is actually the general solution of the homogeneous equation plus a particular solution. .
I haven't proven that is the most general solution, but I think you have the intuition, right?
Because the general solution on the homogeneous one that was the most general solution,
This is our general solution and now we can use our initial conditions to solve for c1 and c2.
The general solution comes from the study of ordinary differential equations
that this is the only general solution.
The state-transition matrix can be used to obtain the general solution of linear dynamical systems.