I'm trying to solve this firrst order diff. equation, where I'm given the initial value,(adsbygoogle = window.adsbygoogle || []).push({}); x(0)=2

[tex]\frac{dx}{dt}=\frac{3x+4}{\sqrt{t}}[/tex]

[tex]\frac{dx}{3x+4}=\frac{1}{\sqrt{t}}dt[/tex]

[tex]\int\frac{1}{3x+4}dx=\int\frac{1}{\sqrt{t}}dt[/tex]

[tex]ln(3x+4)=ln(t^{\frac{1}{2}})[/tex]

this is as far as I got, do I sub inx(0)=2into the LHS? if not, could i have some pointers to help carry on?

cheers.

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# Homework Help: Differential Equation

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