Answer Happy

Solve all three problems, OR DO NOT SOLVE ANY !!!! Iwill like your answer if you get them rightbuddy!
Find the particular solution of y"+2y=0, \quad y(0)=1, y'(0)=2. y(x)=-1+2e^{-2x} a. b. y(x)=2-e^{-2x} c. y(x)=2-e^{2x} O d. y(x)=2e^{x}-e^{-2x} QUESTION 9 Find the particular solution of y"+2y'+2y=0,\quad y(0)=1, y'(0)=0. O a.y=e^{-x}\cos(x)-e^{-x}\sin(x) b.y=e^{-x}\cos(x)+2e^{-x}\sin(x) c. y=e^{x}\cos(x)+e^{x}\sin(x) O d.y=e^{-x}\cos(x)+e^{-x}\sin(x) QUESTION 10 The functions y_1=e^x-e^{-x} and y_2=-3e^x+3e^{-x} are linearly independent. True False