If are solutions of homogeneous linear differential

Chapter , Problem 10RP

(choose chapter or problem)

Answer Problems 1–10 without referring back to the text. Fill in the blank or answer true or false.

If \(y_{1}=e^{x}\) and \(y_{2}=e^{-x}\) are solutions of homogeneous linear differential equation, then necessarily \(y=-5 e^{-x}+10 e^{x}\) is also a solution of the DE. _______

Text Transcription:

y_1=e^x

y_2=e^-x

y=-5e^-x+10 e^x

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