Practice problem
Solve the differential equation
y′′+6y′+9y=0y'' + 6y' + 9y = 0y′′+6y′+9y=0
where y(0)=8y(0) = 8y(0)=8 and y′(0)=−1y'(0) = -1y′(0)=−1.
y(x)=e−x(33x+16)y(x)=e^{-x}(33x+16)y(x)=e−x(33x+16)
y(x)=e−2x(12x+3)y(x)=e^{-2x}(12x+3)y(x)=e−2x(12x+3)
y(x)=e−3x(23x+8)y(x)=e^{-3x}(23x+8)y(x)=e−3x(23x+8)
y(x)=e−2x(17x+5)y(x)=e^{-2x}(17x+5)y(x)=e−2x(17x+5)
Type a concept, like “slope” or “photosynthesis”.
