Please help me with the answers

1. Consider the following differential equation 1 y = 1 + 2ex Ty Select the TRUE statement below. (a) This differential equation is a first-order linear equation, but not a seperable equation. (b) This differential equation is a separable equation, but not a first-order linear equation. (c) This differential equation is both a first-order linear equation and a separable equation. (d) This differential equation is neither a first-order linear equation, nor a separable equation. 2. Consider the following second-order differential equation y" ty = sin x and potential solutions y1(x) = sin x and y2(x) = 2x sin x. Select the TRUE statement below. (a) y1(x) is a solution, but y2(x) is not a solution. (b) y2(x) is a solution, but y1 (x) is not a solution. (c) yi(x) and y2(x) are both solutions. (d) Neither y1(x) nor y2(x) are solutions