Determine if the differential equations are exact, solve the ones that are exact 1.1a. (2x-1)+(3y+7)y' = 0 1.1b. x3+y + 3xyy' = 0 Prove using the Existence and Uniqueness Theorem that the initial value problem has a solution and is unique. dy dx =5y; y(0) = 1has a solution and is unique. Solve the following differential equations: 1.1c. ty' -2y + 10et dy 2y 1.1d. = - x2 y2 dx x 1.1e. y"+y=2x