12. solve (D2-2D+ 5)y=e*.sinx 13. Solve the differential equation: x. dx dy + 4x- dy +2y=e* dx 14. What does the equation 3x + 3y+ 2xy = 2 becomes when the axes are turned through an angle 45 to the original axis. OR 10 cos eco Describe and Sketch the graph of the conic 2 cos ec0 +3 15. Derive the equation of Ellipse in the standard form. 16. Find the equation of tangents to the hyperbola 3x - 4y = 12 which are perpendicular to the line x-y+2=0. Also find the point of contact.