Question

One of the following is a general solution of the homogeneous differential equation $y'' - 9y = 0$ y = $ae^x + be^{-3x}$ y = $ae^x + be^{3x}$ y = $ae^{-3x} + be^{3x}$ y = $ae^{-3x} + be^{-5x}$ and one of the following is a solution to the nonhomogeneous equation $y'' - 9y = -24e^x$ y = $9e^x$ y = $6e^x$ y = $3e^x$ y = $12e^x$ By superposition, the general solution of the equation $y'' - 9y = -24e^x$ is y = Find the solution with y = y(0) = 3 y'(0) = 7 Being the highly trained differential equations fighting machine that I am, I checked the Wronskian (using the solutions to the homogeneous equation without the coefficients a and b) for good measure, and found it to be . The Existence and Uniqueness Theorem tells me that this is the unique solution to the IVP on the interval

          One of the following is a general solution of the homogeneous differential equation $y'' - 9y = 0$
y = $ae^x + be^{-3x}$
y = $ae^x + be^{3x}$
y = $ae^{-3x} + be^{3x}$
y = $ae^{-3x} + be^{-5x}$
and one of the following is a solution to the nonhomogeneous equation $y'' - 9y = -24e^x$
y = $9e^x$
y = $6e^x$
y = $3e^x$
y = $12e^x$
By superposition, the general solution of the equation $y'' - 9y = -24e^x$ is
y = 
Find the solution with
y = 
y(0) = 3
y'(0) = 7
Being the highly trained differential equations fighting machine that I am, I checked the Wronskian (using the solutions to the homogeneous
equation without the coefficients a and b) for good measure, and found it to be . The Existence and Uniqueness Theorem tells me that this is
the unique solution to the IVP on the interval

One of the following is a general solution of the homogeneous differential equation y” - 9y = 0
y = ae^x + be^-3x
y = ae^x + be^3x
y = ae^-3x + be^3x
y = ae^-3x + be^-5x
and one of the following is a solution to the nonhomogeneous equation y” - 9y = -24e^x
y = 9e^x
y = 6e^x
y = 3e^x
y = 12e^x
By superposition, the general solution of the equation y” - 9y = -24e^x is
y =
Find the solution with
y =
y(0) = 3
y'(0) = 7
Being the highly trained differential equations fighting machine that I am, I checked the Wronskian (using the solutions to the homogeneous
equation without the coefficients a and b) for good measure, and found it to be . The Existence and Uniqueness Theorem tells me that this is
the unique solution to the IVP on the interval

Added by Brian A.

Question

Please give Ace some feedback