Heys I was wondering if anyone could guide me through this question:

Let a be a real number. Find the general solution of the differential equation.

y''' + y'' = a

Thanks :)

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- Sep 14th 2012, 08:24 AMDragonkillerQuick Differential equation question
Heys I was wondering if anyone could guide me through this question:

Let a be a real number. Find the general solution of the differential equation.

y''' + y'' = a

Thanks :) - Sep 14th 2012, 08:35 AMtopsquarkRe: Quick Differential equation question
- Sep 15th 2012, 04:49 AMDragonkillerRe: Quick Differential equation question
Where do I go after finding the homogeneous solution?

- Sep 15th 2012, 05:34 AMMarkFLRe: Quick Differential equation question
You could then assume a particular solution of the form:

$\displaystyle y_p(x)=x^s(A)$

Where the natural number*s*is chosen to be the smallest value so that no term in the particular solution is a solution to the corresponding homogeneous equation. Hence, let:

$\displaystyle y_p(x)=Ax^2$

and use the method of undetermined coefficients to determine*A*.