# Particular Solution to a Second Order Ordinary Differential Equation

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## Homework Statement

Find the Particular Solution to the differential Equation satisfying the initial conditions.

y''+7y'+10y= -30
y(0)= 3
y'(0) = -27

## Homework Equations

Characteristic Equation for Homogenous Solution
y''+7y'+10y=0

roots are -2 and -5

General Solution is
C1e^-2t + C2e^-5t

## The Attempt at a Solution

I figured out the general solution, however I don't know how to go about using the method of undetermined coefficients to solve for the particular solution. Since the g(t) is equal to a constant number and not a function of t.