Question: Use Laplace transform to solve the following initial value problems.Problem pointsy''+6y'+9y=0,y(0)=-1,y'(0)=6.Problem pointsy''+7y'+10y=9cost+7sint,y(0)=5,y'(0)=-4.Problem 3(10 points)y''-y'-2y=0,y(0)=-2,y'(0)=5.Problem 4(15 points)y''-4y'+5y=4e3x,y(0)=2,y'(0)=7.Problem 5(15 points)y''+y=x2+2,y(0)=1,y'(0)=-1.Problem 6(15 points)y''+6y'+5y=12et,y(0)=-1,y'(0)=7.
Use Laplace transform to solve the following initial value problems.Problem pointsy''+6y'+9y=0,y(0)=-1,y'(0)=6.Problem pointsy''+7y'+10y=9cost+7sint,y(0)=5,y'(0)=-4.Problem 3(10 points)y''-y'-2y=0,y(0)=-2,y'(0)=5.Problem 4(15 points)y''-4y'+5y=4e3x,y(0)=2,y'(0)=7.Problem 5(15 points)y''+y=x2+2,y(0)=1,y'(0)=-1.Problem 6(15 points)y''+6y'+5y=12et,y(0)=-1,y'(0)=7.
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