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yan [13]
3 years ago
6

Q/18 = 5. i need to solve for q

Mathematics
1 answer:
ra1l [238]3 years ago
3 0

Answer:

q = 90

Step-by-step explanation:

q / 18 = 5

do the reverse from the right side of the problem

/18 = 5

= * 18 = 5

= 5 * 18 = q

q = 90

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

\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}

and by the chain rule,

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3 years ago
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