salerbuna7b salerbuna7b

19-11-2016
Mathematics

Answered

Solve the differential equation by separation of variables

x(dy/dx)=4y

Verified Answer :

syed514 syed514

20-11-2016

get all your x one on side and y on the opposing side
so we have
xdy=4ydx

dy/y=4dx/x
integrate both sides
lny=4lnx+C
y=e^(4lnx+C)
The answer is y=cx^4

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