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olya-2409 [2.1K]
3 years ago
13

Determine whether the given function is a solution to the given differential equation. y=cosx+x8​, d^2y/dx^2 + y = x^8 + 56x^6.

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0

The correct question is:

Determine whether the given function is a solution to the given differential equation. y = cosx + x^8; d²y/dx² + y = x^8 + 56x^6

Step-by-step explanation:

Given the differential equation

d²y/dx² + y = x^8 + 56x^6.

Suppose y = cosx + x^8 is a solution, then differentiating y twice, and adding it to itself, must give the value on the right hand side of the differential equation.

Let us differentiate y twice

y = cosx + x^8

dy/dx = -sinx + 8x^7

d²y/dx² = -cosx + 56x^6

Now,

d²y/dx² + y = -cosx + 56x^6 + cosx + x^8

= 56x^6 + x^8

Therefore,

d²y/dx² + y = x^8 + 56x^6

Which shows that y = cosx + x^8 is a solution to the differential equation.

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Answer:

10x²+11-2x

Step-by-step explanation:

I hope you mean 7x²+8+5, not 7x²+8x+5.

We need to combine like terms. Anything with squared should be added together, et cetera.

(7x²+8+5)+(3x²-2x-2)

You can take out the parenthesis, because they don't matter in addition.

7x²+8+5+3x²-2x-2

Add the terms, step by step. Each bold pair needs to be added together.

7x²+8+5+3x²-2x-2

10x²+8+5-2x-2

10x²+11-2x

Now there's no more we can add together.

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Step-by-step explanation:

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3 years ago
Keith ate 2/6 of candy bar. If there were 6 pieces total, what fraction of the candy bar is left?
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3 years ago
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Answer:

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Step-by-step explanation:

1 yard=3 feet

2 yards=6 feet

3 yards=9 feet

4 yards=12 feet

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3 years ago
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Solve for r 5(r-10)=-51
Pie

Answer:

r=−1/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(r−10)=−51

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