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2 years ago

(Geometry: Reasoning and Proof)

Mathematics

1 answer:

djyliett [7]2 years ago

7 0

Answer:

Reason 1: As provided by the question

Statement 2: 4x = 8x - 16

Reason 3: Collective Like terms property

Reason 4: Equality property

Step-by-step explanation:

Reason 1: As provided by the question

Statement 2: 4x = 8x - 16

Reason 3: Collective Like terms property

Reason 4: Equality property

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mart [117]

Answer:

Yes

Step-by-step explanation:

We are given that a function $\phi(x)=x^2-x^{-1}$

We have to find that given function is an explicit solution to the linear equation

$\frac{d^2y}{dx^2}-\frac{2}{x^2}y=0$

If given function is an explicit solution of given linear equation then it satisfied the given differential equation

Differentiate w.r.t x

Then we get $\phi'(x)=2x+x^{-2}$

Again differentiate w.r.t x

Then we get

$\phi''(x)=2-\frac{2}{x^3}$

Substitute all values in the given differential equation

$2-\frac{2}{x^3}-\frac{2}{x^2}(x^2-x^{-1})$

= $2-\frac{2}{x^3}-2+\frac{2}{x^3}=0$

Hence, given function is an explicit solution of given differential equation.

Therefore, answer is yes.

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2 years ago

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Rama09 [41]

Answer:

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Step-by-step explanation:

Explained above

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(*Geometry: Reasoning and Proof*)

(Geometry: Reasoning and Proof)