13. Let $y'' - 7y' - 44y = 0$. a) Show that $y = e^{11x}$ is a solution of this differential equation. b) Show that $y = e^{-4x}$ is a solution. c) Show that $y = C_1e^{11x} + C_2e^{-4x}$ is a solution, where $C_1$ and $C_2$ are constants.

          13. Let $y'' - 7y' - 44y = 0$.
a) Show that $y = e^{11x}$ is a solution of this differential equation.
b) Show that $y = e^{-4x}$ is a solution.
c) Show that $y = C_1e^{11x} + C_2e^{-4x}$ is a solution, where $C_1$ and $C_2$ are constants.

13. Let y” - 7y' - 44y = 0.
a) Show that y = e^11x is a solution of this differential equation.
b) Show that y = e^-4x is a solution.
c) Show that y = C1e^11x + C2e^-4x is a solution, where C1 and C2 are constants.

Added by Taylor H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Darshan Maheshwari

08/01/2021

Step 1

Step 1: To show that y = Ce^(11x) + C2e^(Ci) is a solution to the differential equation y'' - 7y' - 44y = 0, we need to substitute y into the differential equation and show that it satisfies the equation. Show more…

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Let y'' - 7y' - 44y = 0. a) Show that y = e^(11x) is a solution of this differential equation. b) Show that y = e^(-4x) is a solution. c) Show that y = C1e^(11x) + C2e^(-4x) is a solution, where C1 and C2 are constants. 13. Let y'' - 7y' - 44y = 0. c) Show that y = Ce^(11x) + C2e^(Ci) and C are constants.