Posted by Matt on Saturday, January 12, 2008 at 1:22pm.
I posted this several days ago but it hasn't been answered and I still can't figure it out:
For which values of r does the function defined by y=e^(rt) satisfy the differential equation y''+ y'-6y = 0
Calculus - bobpursley, Saturday, January 12, 2008 at 1:43pm
find y', and y"
now put them in the equation...
and divide both sides by y (y cann never be zero).
now solve for r.
Calculus - Matt, Saturday, January 12, 2008 at 2:28pm
how did you get ry and r^2y for y' and y''?
Calculus - Damon, Saturday, January 12, 2008 at 4:01pm
if y = e^rt where r is constant and t is variable
dy/dt = r e^rt
since e^rt = y then
dy/dt = r y
d/dy(dy/dt) = d^2y/dt^2 = r*re^rt
= r^2 e^rt
= r^2 y again since y = e^rt
Answer This Question
More Related Questions
- Calculus - For which values of r does the function defined by y=e^(rt) satisfy ...
- Calculus - for what values of r does the function y=e^rx satisfy the ...
- calculus - For what values of r does the function y = erx satisfy the ...
- Pre-Calculus - I posted this question about an hour ago, got a response but ...
- math - For what values of r does the function y = erx satisfy the differential ...
- Differential Equations - Consider the differential equation: dy/dt=y/t^2 a) Show...
- Calculus - Hi! My question is: Given that f is a function defined by f(x) = (2x...
- Calculus-HELP!!!! - Show that the function y=c_1 e^x cos(x)+ c_2 e^x sin(x) ...
- calc - Why would fZ(x) =2x^3 on [-1,1] fail to satisfy the conditions of the ...
- Pre-Calculus - Solve the equation 2x + 5y - 3z = -1. Write the general solution ...