10. Solve the differential equation (1+ y)+(x-etany) 11. Solve: y-3px + ayp = 0 12. Solve:...

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10. Solve the differential equation (1+ y)+(x-etany) 11. Solve: y-3px + ayp = 0 12. Solve: (D2-2D+5)y = ex.sin x dy 0 dx 13. A resistance of 100 Ohms, an inductance of 0.5 Henry are connected in series with a battery 20 volts. Find the current in the circuit as a function of time. 14. What does the equation 3x +3y+2xy = 2 becomes when the axes are turned through an angle 45 to the original axes. 15. Show that the locus of a point which moves in such a way that the differences of its distance from two fixed points is constant is a hyperbola. 10. Solve the differential equation (1+ y)+(x-etany) 11. Solve: y-3px + ayp = 0 12. Solve: (D2-2D+5)y = ex.sin x dy 0 dx 13. A resistance of 100 Ohms, an inductance of 0.5 Henry are connected in series with a battery 20 volts. Find the current in the circuit as a function of time. 14. What does the equation 3x +3y+2xy = 2 becomes when the axes are turned through an angle 45 to the original axes. 15. Show that the locus of a point which moves in such a way that the differences of its distance from two fixed points is constant is a hyperbola.