Thread: Initial value problem w/ y'''

Hey everyone,
I'm struggling with this problem. Any help would be much appreciated.

Find y as a function of x if y''' +49y' = 0,
y(0) = 2
y'(0) = -42
y''(0) = 98

Cheers

Originally Posted by jbannist

Hey everyone,
I'm struggling with this problem. Any help would be much appreciated.

Find y as a function of x if y''' +49y' = 0,
y(0) = 2
y'(0) = -42
y''(0) = 98

Cheers

Let v = y'. Then:

v'' + 49v = 0.

Can you solve for v as a function of x?

(And from v get y ....)