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EastWind [94]
3 years ago
6

Solve the differential equation by separation of variables x(dy/dx)=4y

Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0
<span>get all your x one on side and y on the opposing side so we have
xdy=4ydx
dy/y=4dx/x
</span><span>integrate both sides
</span><span>lny=4lnx+C
</span><span> y=e^(4lnx+C)
</span><span>The answer is y=cx^4 </span>

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Step-by-step explanation:

Given,

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Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/9532142
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