Posted by **Erica** on Thursday, January 31, 2013 at 4:28pm.

For the following initial value problem:

dy/dt=1/((y+1)(t-2)), y(0)=0

a)Find a formula for the solution.

b) State the domain of definition of the solution.

c) Describe what happens to the solution as it approaches the limit of its domain of definition. Why can't the solution be extended for more time?

I separated and integrated and got y(t)=sqrt(2ln|t-2|+C)-1 and I don't really know where to go from there.

Using the initial condition, C will be 2*ln|-2|

## Answer This Question

## Related Questions

- Differential Equations - For the following initial value problem: dy/dt=1/((y+1...
- Differential Equations (Another) Cont. - For the following initial value problem...
- calculus - (A) Consider the wave equation with c=1, l=1, u(0,t)=0, and u(l,t)=0...
- Differential Equations - a) Sketch the phase line for the differential equation ...
- Math: Differential Equations - Solve the initial value problem y' = y^2, y(0) = ...
- Differential Equations - a) Sketch the phase line for the differential equation ...
- Differential equations,Calculus - So I have the following differential equation...
- calculus - Find the domain for the particular solution to the differential ...
- calculus - Find the domain for the particular solution to the differential ...
- Differental Equations - a) Sketch the phase line for the differential equation ...

More Related Questions