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Readme [11.4K]
3 years ago
10

Is y=x^3 a solution of the differential equation yy'=x^5+y

Mathematics
1 answer:
shepuryov [24]3 years ago
3 0

No; we have y=x^3\implies y'=3x^2. Substituting these into the DE gives

3x^5=x^5+x^3

which reduces to x^3=0, true only for x=0.

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the problem is kamala had 5,026 grams  flour in a canister.she brought a 4,158 gram bag of flour.she poured some flour from the
andrey2020 [161]
Hello, 

x= amount of flour that she poured in the canister

there was 5,026 grams of flour, and now: 5,026+x

In the bag there was 4,158, now: 4,158

I says that as a result the mass of the flour in the canister is twice the mass of the flour left in the bag, so:

5,026+x=2*(4,158-x) \\ 5,026+x=8,316-2x \\ 3x=8,316-5,026 \\ 3x=3,290 \\ x=1,096.67

So, she poured 1,096.67 grams, we subtract this from the initial amount in the bag and we have the answer:

4,158g-1,096.67=\boxed{3,061.33}

Answer: there is 3,061.33 grams of flour in the bag
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