find the general solution of the differential equation y''+y'-6y =0

y''+y'-6y

m² + m - 6 = 0

m-2(m+3)=0

m-2=0m-3=0

m-2=0m+3=0

yᶜ = C₁℮^(-3x) + C₂℮^(2x)

find the particular solution of y''+y'-6y =0 given that y(0)= 5 and y'(0)=0 getting trouble with this part help please