stunner5000pt
Jan24-05, 08:54 PM
Doing a problem on the Uniqueness Theorem and i do not understand it
Can you help me by explaining why this example is unique or not, please?
Given \frac{dy}{dt} =F(t,y)
Also y_{1} = -1 for all t that are solutions
And y_{2} = 1+ t^2 for all t that are solutions
and y(0) = 0
Is the solution unique or not?
I think it is because y1(0) < y(0) <y2(0) . Is that the only criterion for uniqueness or is there something more?
Can you help me by explaining why this example is unique or not, please?
Given \frac{dy}{dt} =F(t,y)
Also y_{1} = -1 for all t that are solutions
And y_{2} = 1+ t^2 for all t that are solutions
and y(0) = 0
Is the solution unique or not?
I think it is because y1(0) < y(0) <y2(0) . Is that the only criterion for uniqueness or is there something more?