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3 years ago

Can anyone help me with this?

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

3 0

Answer: 16y² - x²

Step-by-step explanation: The - sign means a difference, so the choices with + signs are eliminated (though 64x² and 9 are squares)

10 is not a square so that one is eliminated (though the y² and the 4x² are squares)

16 is the square of 4, y² is the square of y, and x² is the square. That expression shows a difference of squares.

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Substituting this into the other ODE gives

$-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0$

Since $x(t)=-\dfrac14y'(t)$ , it follows that $x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16$ . The ODE in $y$ has characteristic equation

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$\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}$

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Which is the same as = 32 x 5 x 11Prime Factors Tree of 495495
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i think i helped successfully

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