Find the solution of the given initial value problem: dy = e sinc - 27. y(0) = 0. o y(@) = sinn - el o y(x) = e- cos I Oy(x) = -e-2 coste 2x oy(x) = -2 1Find the general solution (in implicit form) to the following differential equation: (1 + ey ) dy 8x. de Oyte = Cel + Ce * O yel = etr + 0 Oyte = et + 0Find the general solution to the second-order differential equation y' - by = er. O y(x) = Ae-2 + Belt - O y(x) = Ae-4 + Bell - O y(x) = Ae-2 + Belt O y(x) = Ae 3 + Belt