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ludmilkaskok [199]
3 years ago
8

Step By Step please & Thank you.

Mathematics
2 answers:
Sever21 [200]3 years ago
8 0
I agree. The answer is 2/3
lions [1.4K]3 years ago
4 0

Answer:

2/3

Step-by-step explanation:

\frac{3}{4} n =  \frac{1}{2}  \\  \\ multiply \: both \: sides \: by \:  \frac{4}{3}  \\  \\ \frac{ \cancel4}{\cancel3}   \times  \frac{\cancel3}{\cancel4} n = \frac{\cancel4 \:  \:  \red{ \bold2}}{3}   \times  \frac{1}{ \cancel2}  \\  \\n =  \frac{2 \times 1}{3 \times 1}  \\  \\ n =  \frac{2}{3}

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Find a general solution of y" + 8y' + 16y=0.
Misha Larkins [42]

Answer:

The general solution: C_{1}e^{-4x} + xC_{2}e^{-4x}

Step-by-step explanation:

Differential equation: y'' + 8y' + 16y = 0

We have to find the general solution of the above differential equation.

The auxiliary equation for the above equation can be writtwn as:

m² + 8m +16 = 0

We solve the above equation for m.

(m+4)² = 0

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Thus we have repeated roots for the auxiliary equation.

Thus, the general solution will be given by:

y = C_{1}e^{m_{1}x} + xC_{2}e^{m_{2}x}

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6 0
3 years ago
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7 0
3 years ago
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See attached photo.

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5 0
4 years ago
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Step-by-step explanation:

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