Solve y′′−152y′+5776y=0y'' - 152y' + 5776y = 0y′′−152y′+5776y=0.
y=(C1+C2x)e76xy = (C_1 + C_2 x)e^{76x}y=(C1+C2x)e76x
y=C1e76x+C2e−76xy = C_1 e^{76x} + C_2 e^{-76x}y=C1e76x+C2e−76x
y=C1cos(76x)+C2sin(76x)y = C_1 \\cos(76x) + C_2 \\sin(76x)y=C1cos(76x)+C2sin(76x)
y=Ce76xy = C e^{76x}y=Ce76x