How Do You Solve the Differential Equation y = C(e^(-αt) - e^(-βt))?

[larner]

Homework Statement

X--Y----Z, starting with X only

Homework Equations

y=C(e^-(alpha*t) -e-^beta*t)

C, alpha, beta constts SUCH THAT C >0 0<alpha <beta

show dy/dt= 0 imply t = 1/ (beta -alpha )*ln (beta/alpha)

The Attempt at a Solution

no idea!

 

[HallsofIvy]

Well, since it asks you to show that dy/dx= 0, have you differentiated
$$y= c(e^{-\alpha t}- e^{\beta t}$$?

Set that derivative equal to 0 and solve for t.

 

[larner]

Thanx, I trying to differentiate. Bt now sorted out! cheers!