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salantis [7]
3 years ago
12

I need help o really don't understand

Mathematics
2 answers:
aleksklad [387]3 years ago
7 0
1/3+2/3=1 is the answer
Firdavs [7]3 years ago
6 0
Subtract \frac{1}{3} from \frac{3}{3} to get \frac{2}{3}
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3 0
3 years ago
Use the substitution of x=e^{t} to transform the given Cauchy-Euler differential equation to a differential equation with consta
kherson [118]

By the chain rule,

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dt}=x\dfrac{\mathrm dy}{\mathrm dx}

which follows from x=e^t\implies t=\ln x\implies\dfrac{\mathrm dt}{\mathrm dx}=\dfrac1x.

\dfrac{\mathrm dy}{\mathrm dt} is then a function of x; denote this function by f(x). Then by the product rule,

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so that

\dfrac{\mathrm d^2y}{\mathrm dt^2}-\dfrac{\mathrm dy}{\mathrm dt}=x^2\dfrac{\mathrm d^2y}{\mathrm dx^2}

Then the ODE in terms of t is

\dfrac{\mathrm d^2y}{\mathrm dt^2}+8\dfrac{\mathrm dy}{\mathrm dt}-20y=0

The characteristic equation

r^2+8r-20=(r+10)(r-2)=0

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Solving in terms of x gives

y_c(x)=C_1e^{-10\ln x}+C_2e^{2\ln x}\implies\boxed{y_c(x)=C_1x^{-10}+C_2x^2}

4 0
3 years ago
8x+5=29;3 <br> can someone pls explain :)
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Answer:

Step-by-step explanation:

8x+5=29, x=3

subtract 5 on each side

8x=24

then divide by 8 on both sides to isolate x

x=3

8 0
2 years ago
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Stells [14]

Answer:

23 or 23.00

Step-by-step explanation:

Im very very intelligent

6 0
2 years ago
George Blanda played in the NFL for 26 years. Write and solve an equation to find how many points he averaged each year. (His Ca
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77 points per year, 2,002 divided by 26 is 77.

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