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valina [46]
2 years ago
14

The question is below pls help ASAP

Mathematics
1 answer:
nadya68 [22]2 years ago
6 0

Answer:

SSS or SAS

Step-by-step explanation:

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<em>Hope this helps!</em>

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The prime factorization of 236
mafiozo [28]

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The prime factors are: 2 x 2 x 59

or Written in exponential form: 2^2 x 59^1

Step-by-step explanation:

236 ÷ 2 = 118 - No remainder! 2 is one of the factors

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59 ÷ 59 = 1 - No remainder! 59 is one of the factors

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Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.
scZoUnD [109]

Answer:

y=\frac{C}{x}.

Step-by-step explanation:

Given homogeneous equation

x^2ydy+xy^2dx=0

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}

Substitute y=ux , u=\frac{y}{x}

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}

Now,

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u

\frac{\mathrm{d}u}{\mathrm{d}x}=-2u

\frac{du}{u}=-\frac{dx}{x}

Integrating both side we get

lnu=-2lnx+lnC

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lnu+ln{x}^2=lnC

lnux^2=lnC

Cancel ln on both side

ux^2=C

Substitute u=\frac{y}{x}

Then we get

xy=C

y=\frac{C}{x}.

Answer:y=\frac{C}{x}.

8 0
2 years ago
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