Solve the initial value problem explicitly for u

[EndOfMemories]

Homework Statement

solve the initial value problem for u

du/dt= (2t + sec^2(t))/2u also, u(0)=4

Homework Equations

antiderivative of sec^2(t) is tan(t) + C

The Attempt at a Solution

So, the first thing i did was move the "u" with the "u" and "t" with the "t". so the equation looks like
2u*du = 2t*dt + sec^2(t)*dt
then anti differentiated and got
u^2 = t^2 + tan(t) + C
then i got stuck

 

[tiny-tim]

Hi EndOfMemories!

(try using the X² icon just above the Reply box )

… also, u(0)=4
…
So, the first thing i did was move the "u" with the "u" and "t" with the "t". so the equation looks like
2u*du = 2t*dt + sec^2(t)*dt
then anti differentiated and got
u^2 = t^2 + tan(t) + C
then i got stuck

that's fine!

now you need to find C, which you do by putting t = 0 and u = 4

 

[EndOfMemories]

I see. thanks =)