Mathematics: Find the specific solution of the differential equation dy dx equals the quotient of 4 times y and x squared with condition y(-4) = e.

Find the specific solution of the differential

Ответ:

GhostBoooty

14.03.2022

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4y}{x^2}\implies\dfrac{\mathrm dy}y=\dfrac4{x^2}\,\mathrm dx$

Integrate both sides to get

$\ln|y|=-\dfrac4x+C$

Given that y(-4)=e

, we have

$\ln|e|=-\dfrac4{-4}+C\implies C=0$

so the particular solution is

$\ln|y|=-\dfrac4x\iff y=e^{-4/x}$

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Ответ:

sparky1234

04.03.2020

Mathematics

A, 62+x=90

Step-by-step explanation:

Complementary angles are two angles that add up to 90.

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Find the specific solution of the differential equation dy dx equals the quotient of 4 times y and x squared with condition y(-4) = e.

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