6) a) Find the general solution to the 2nd 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]

Solve x′=x−8y, y′=x−3y, x(0)=2, y(0)=1

Question

solve this equation y''-6y'+8y=1 when y(0)=1, y'(0)=7

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

Solve x′=x−8y, y′=x−3y, x(0)=2, y(0)=1