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Minchanka [31]
3 years ago
5

T = C(2 + AB); for B

Mathematics
1 answer:
Irina18 [472]3 years ago
5 0

Answer:

B=(T/C-2)/A

Step-by-step explanation:

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Use the substitution of x=e^{t} to transform the given Cauchy-Euler differential equation to a differential equation with consta
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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}

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\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1x\dfrac{\mathrm dy}{\mathrm dt}\right]=-\dfrac1{x^2}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac1x\dfrac{\mathrm df}{\mathrm dx}

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