Examples of using General solution in English and their translations into Thai
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Colloquial
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Ecclesiastic
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Ecclesiastic
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Computer
That is the general solution.
Application: open system, suitable for filtering general solution.
I will keep our general solution there.
The general solution to the nonhomogeneous equation is going to be the sum of the two.
So this is our general solution.
So our general solution will be y is equal to e to the real part of our complex conjugate.
And we will have our general solution.
You get the general solution of the homogeneous.
You can figure out a general solution.
And this is the general solution of this differential equation.
Figure out the derivative of the general solution.
And that it's the general solution for this non-homogeneous equation.
And now we have a truly general solution.
And now we if we want the general solution we just have to throw this right back into that.
Leap of faith, that this is the only general solution.
So anyway, this was the general solution to this differential equation.
Open system, suitable for filtering general solution.
And we're asked to find the general solution to this differential equation.
And now we're ready to write down our general solution.
So substituting into our general solution, y of 0 is equal to 2.
So let's see what happens when we take these two roots and we put them into our general solution.
And you know how to solve the general solution of the homogeneous equation if this were 0.
But you see that once you know the pattern, or once you know that this is going to be the general solution, they're pretty easy to solve.
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.
Your two roots are lambda plus or minus mu i, then the general solution is going to be this.
Anyway, this is our general solution and now we can use our initial conditions to solve for c1 and c2.
So our particular solution, given these initial conditions, were, or are, or is y of x is equal to-- this was a general solution-- e to the minus 2x times-- we solved for c1.
And now if we want the general solution, we add to that the general solution of the homogeneous equation.
The range has been designed to provide a general solution to the most commonly found daily needs.
Because the general solution on the homogeneous one that was the most general solution, and now we're adding a particular solution that gets you the g of x on the right-hand side.