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4 years ago

Convert to an improper fraction. Type in your answer with the negative in the numerator. -12 3/4

Mathematics

2 answers:

iren2701 [21]4 years ago

7 0

- 51/4
Hope this helps:D
Have a great rest of a brainly day!

uranmaximum [27]4 years ago

5 0

-12×4= -48 -48+-3=-51
Answer-51/4

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Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y

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

Take the derivative and multiply it by -1/4 to get the solution for $x(t)$ :

$-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}$

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