9.3 Separable ODES 1. Solve the ODE: (e 1)y 2+ cos x. = 2. Solve by employing integration by parts. 3. Solve de dt = t sec Oetz dR = RH1+ R In H by integration by parts and u-substitution. 4. Solve the IVP: 5. Solve the IVP: du = dt 2t+ sec t 2u u(0) = -5 dy dx x sin x y(0) = 1. Integration by parts is needed. 6. We will solve the following ODE: xy = y + xe/z by making a change of variable v = I (a) Find v' using the quotient rule. (b) Using the given ODE, deduce a new ODE involving v and v'. Solve this ODE. (c) Solve for y.