- #1
eddiej90
- 11
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Homework Statement
Using the laplace transform technique, solve the ordinary differential equation:
d2y/dt2+4.2dy/dt+4.5y=0 initial conditions: y(0)=1 and y'(0)=1
Homework Equations
From laplace tables:
d2y/dt2=s2Y-sy(0)-y'(0)
dy/dt=sY-y(0)
3. The Attempt at a Solution
After using the laplace tables to convert the equation, and rearranging it to make Y the subject, I have come to this point:
Y=(s+5.2)/s2+4.2s+4.5
Iv tried completing the square on the denominator and other methods but cannot get to a point that looks similar to the laplace tables in order to convert it back. I am pretty sure i need to use the ones under the section "General approach to quadratic functions of the form as2 + bs + c" however i have completely no idea as to what to do with α and β