Use Laplace transforms to solve the following initial value problem. y" - y' - 12y = 0, y(0) = - 1, y'(0) =24 Find the transformed equation. Choose the correct answer below. O A. E(y"(1) -1(y'(1) - 121{y(1)} = s O B. (y"(1)) - E(y'(1) - 121{(1) = 0 O C. (y"(1)) - 1 (y'(1) - fly(1) = 5 O D. E(y"(1) - E(y'() - ty(1)) =0 Find the solution. y(1) = (Type an exact answer.)ng ODE by Laplace Transforms Question 2 of 4 This quiz: 4 point(s) possible This question: 1 point(s) possible Use Laplace transforms to solve the following initial value problem. y" + 4y = 4, y(0) = 1, y'(0) =2 Find the transformed equation. Choose the correct answer below. O A. fly"(1) + 4fly' (1)) = O B. Ly"(1) + 42ty(1) = = O c. fly"(1) + 4ffy'(1)} = 4 O D. Lly"(1) + 41 {y(1)) = 4 Find the solution. y(1) =(Type an exact answer.)ODE by Laplace Transforms Question 3 of 4 This quiz: 4 point(s) possible This question: 1 point(s) possible Use Laplace transforms to solve the following initial value problem. x' + 2y' + x= 0, x' -y' + y= 0, x(0) = 0, y(0) = 196 x(1) = y(1) = (Type exact answers.)ing ODE by Laplace Transforms Question 4 of 4 This quiz: 4 point(s) possible This question: 1 point(s) possible Submit quiz Use Laplace transforms to solve the following initial value problem. K x" + 6x' + 25x = 0; x(0) = 4, x'(0) =9 First find the Laplace transform of x(t). X(S) = Then use this to find x(t). x(1) = (Type an exact answer.)