Wednesday

April 1, 2015

April 1, 2015

Posted by **Erica** on Thursday, January 31, 2013 at 12:35am.

a) Show that the constant function y1(t)=0 is a solution.

b)Show that there are infinitely many other functions that satisfy the differential equation, that agree with this solution when t<=0, but that are nonzero when t>0 [Hint: you need to define these functions using language like " y(t)=...when t<=0 and y(t)=...when t>0 and "]

c) Why doesn't this example contradict the Uniqueness Theorem?

I'm trying to do part b and after I separated and integrated I got

ln|y|=(-1/t)+C

I'm not sure if I can get C with the solution they gave in part a)y1(t)=0.

Anyways, I get y(t)=Ce^-(1/t). I don't know where to go from there.

**Answer this Question**

**Related Questions**

Differential Equations - Consider the differential equation: dy/dt=y/t^2 a) Show...

Differential Equations - Consider the differential equation: dy/dt=y/t^2 a) Show...

calculus-differential equation - Consider the differential equation: (du/dt)=-u^...

differential equations - Consider the 2nd order differential equation: x''(t)=-...

Help with differential eqs problem???? (Calculus) - Consider the differential ...

Differential Equations - The velocity v of a freefalling skydiver is well ...

calculus - determine whether the statement is true or false. If it is true, ...

Math - A two population model is satisfied by a system of differential equations...

calculus - is y = x^3 a solution to the differential equation xy'-3y=0?? how do ...

calculus - consider the differential equation dy/dx= (y - 1)/ x squared where x ...