# Math Help - initial value problem

1. ## initial value problem

Solve the following initial value problem, use t as the variable.

$y^1=2y$
$y(0)=3$

Is the question asking me to solve for $y$ or $y^1$?
Anyway, I did both...

$
y=3e^{2t}
$

$
y^1=6e^{2t}
$

2. it's asking for y --- in any intial value problem you always want y

3. Originally Posted by Calculus26
it's asking for y --- in any intial value problem you always want y

So in this problem, when t = 0, y = what???

is it 3?

4. saying y =3 when t = 0

whenever you have dy/dt = kt

y = y(0)e^(kt)

5. Originally Posted by Calculus26
saying y =3 when t = 0

whenever you have dy/dt = kt

y = y(0)e^(kt)

Is it how I should graph it?

6. absolutely