What is the slope of the tangent line to the graph of a solution of y' = 6y + 5x that passes through (-1, 4) ans: in problems 6 and 7, verify the indicated function is an explicit solution of the given differential equation. 6. y' + y = sec x; y = x sin x + (cos x) incos x) ans: 7. x®y + xy + y = sec(in x); y = cos(in x) in(cos(in x)) + (in x) sin(in x) ans: 8. verify that the indicated expression is an implicit solution of the given differential equation. com +1 = (x 5)2 + yº = 1 ans: 9. y = c, ex + c, e* - 2x is a two parameter family of the second-order de y" - 2y' - 3y = 6x + 4. find a solution of the second order ivp consisting of the differential equation and the initial condition y(0) = 1, y'(0) = -3. ans: