Differential equation xy′+2y=0 and the form of arbitrary constant in its general solution If I'm solving the differential equation in the title I will get to: log(y)=−2log(x)+c then I'll get y=e^c/x^2 eith arbitrary constant c. So I know I can write y=d/x^2 where d is an arbitrary positive constant. But now it's easy to see that d can be negative or zero as well. How can I see that from the derivation? Can I reason from the derivation that d can be arbitrary? (I know I can just show d can be arbitrary e.g. by calculating y′ and see that d cancels out.)

$\frac{20b}{{\left(4b^3\right)}^3}$

Which operation could we perform in order to find the number of milliseconds in a year??
${\displaystyle 60\cdot 60\cdot 24\cdot 7\cdot 365}$
${\displaystyle 1000\cdot 60\cdot 60\cdot 24\cdot 365}$
${\displaystyle 24\cdot 60\cdot 100\cdot 7\cdot 52}$
${\displaystyle 1000\cdot 60\cdot 24\cdot 7\cdot 52?}$

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A) No
B) 0
C) Yes
D) 6

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149600000000 is equal to
A)$1.496\times <!--\; \times \; -->{10}^{11}$
B)$1.496\times <!--\; \times \; -->{10}^{10}$
C)$1.496\times <!--\; \times \; -->{10}^{12}$
D)$1.496\times <!--\; \times \; -->{10}^8$

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