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enyata [817]
2 years ago
5

STATE WHETHER THE WORKING SHOWN IN THE PICTURE BELOW IS TRUE OR FALSE.

Mathematics
1 answer:
Tpy6a [65]2 years ago
3 0

Answer:

True

Step-by-step explanation:

i dont see a error-

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Find the general solution of the given higher-order differential equation. d3u dt3 + d2u dt2 − 2u = 0
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\dfrac{\mathrm d^3u}{\mathrm dt^3}+\dfrac{\mathrm d^2u}{\mathrm dt^2}-2u=0

This ODE has characteristic equation

r^3+r^2-2=(r^3-r)+(r^2+r-2)=r(r^2-1)+(r+2)(r-1)

=(r(r+1)+(r+2))(r-1)=(r^2+2r+2)(r-1)=0

which has roots at r=1,-1\pm i. Then the characteristic solution to the ODE is

u(t)=C_1e^t+C_2e^{(-1+i)t}+C_3e^{(-1-i)t}

\implies\boxed{u(t)=C_1e^t+C_2e^{-t}\cos t+C_3e^{-t}\sin t}

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3 years ago
At a local preschool, there is a ratio of 3 boys to every 4 girls. If there are 245 total preschoolers enrolled, then how many a
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Set up the equation by writing the number of students in the ratio as a fraction:

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

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1.05 x 10^4 in standard notation
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Step-by-step explanation:

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