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#### karush

##### Well-known member

- Jan 31, 2012

- 2,886

$$y''+5y'+6y=e^x$$

into a system of first order (nonhomogeneous) differential equations and solve the system.

the characteristic equation is

$$\lambda^2+5\lambda+6=e^x$$

factor

$$(\lambda+2)(\lambda+3)=e^x$$

ok not real sure what to do with this $=e^x$ thing