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Juliette [100K]
3 years ago
15

This is an easy math question, I will give a lot of points.

Mathematics
2 answers:
Mrac [35]3 years ago
8 0

Answer:

2.5 km/per hour

Step-by-step explanation:

do you want an explanation?

Ksivusya [100]3 years ago
4 0

Hope it helps buddy.......

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How do you know where to put the constant when finding general solutions for differential equations?
Norma-Jean [14]
Let's suppose we want to solve y'=y with y(0)=2. Separating variables and integrating, we get

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Leaving the solution in this form, the initial condition gives

2=e^{0+C}=e^C\implies C=\ln2

This means the solution is y=e^{x+\ln2}.

Now if we were to write y=e^{x+C}=e^xe^C=Ce^x, then we would have found

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so that the solution would have been y=2e^x.

But these two solutions are the same, since y=e^{x+\ln2}=e^xe^{\ln2}=2e^x. So we get the same solution regardless of where we place C, despite getting different values for C.
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Answer:

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