hey, i have some problems with this diff. equation(adsbygoogle = window.adsbygoogle || []).push({});

dy/dx=(2x+y-3)^(1/2)

i tried to do some substitution

v=2x+y-3

then

dv/dx=2+dy/dx

dy/dx=dv/dx-2

then i substituted back into original equation

dv/dx-2=v^(1/2)

dv/(v^(1/2)+2)=dx

integrated and got something like this

2v^(1/2)-4ln(v^(1/2)+2)=x+c

i do not know whether this is the correct method and what to do with 2v^(1/2)-4ln(v^(1/2)+2)=x+c

thanks for the advice

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# Homework Help: Dif. equation

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