6) a) Find the general solution to the 2nd order differential equation y''+6y'+8y=0 [8 pts] b)...

6) a) Find the general solution to the 2^nd order differential equation y''+6y'+8y=0 [8 pts]

b) Find the general solution to y''+6y'+8y=2e-x. Use the method of undetermined coefficients. [8 pts]

c) Solve the IVP y''+6y'+8y=2e-x, y0=0, y'0=0 [5 pts]

Expert Solution

Colby Messinger answered 1 month ago

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Second order Differential equation: Find the general solution to [ y'' + 6y' +8y = 3e^(-2x) + 2x ] using annihilators method and undetermined coeficients.

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