CinEx HD 2.3.0.6 Serial Key And 16
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Differential equation: find a general solution.
The question is:
Let $y(x)$ be a solution of the differential equation $$y’+3y=0$$
a) find the general solution
b) find the particular solution to the differential equation $y(0)=0$
c) find the particular solution to the differential equation $y(5)=0$
So for question a) I wrote the initial value problem:
$$y’+3y=0$$
$$y(0)=y_0$$
Where $y_0=y(0)$, so $y_0=0$
$$y(x)=a+b*x$$
Where: $a=C*e^{ -3x}$
And $b=\frac{ -1}{3}*e^{ -3x}$
And so we have that $a+b*x=C*e^{ -3x}$
$a=C$ and $b=-\frac{1}{3}$
And so we have that:
$$y(x)=C*e^{ -3x}$$
Question: This solution is not what the question asks, in the question it asks for a general solution not a particular solution. How do I get the general solution?
For question b), I thought that I would get a general solution $y(x)=C_1*e^{3x}+C_2*e^{ -3x}$. But I have forgotten a question that came up at school:
What is the general solution of the differential equation $y’
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CinEx HD 2.3.0.6 Serial key and 16
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