Maths diffrential questions, Exercises of Mathematics

Download Maths diffrential questions and more Exercises Mathematics in PDF only on Docsity! Chapter 9 Differential Equations Important MCQs Questions Question 1: Solution of differential equation xdy – ydx = Q represents (a) a rectangular hyperbola (b) parabola whose vertex is at origin (c) straight line passing through origin (d) a circle whose centre is at origin Question 2: The curve for which the slope of the tangent at any point is equal to the ratio of the abscissa to the ordinate of the point is: (a) An ellipse (b) Parabola (c) Circle (d) Hyperbola Question 3: What is the degree of differential equation (y’’’)2 + (y’’)3 + (y’)4 + y5 = 0? (a) 2 (b) 3 (c) 4 (d) 5 Question 4: What is the differential equation of the family of circles touching the y- axis at the origin? (a) 2xyy’ + x2 = y2 (b) 2xyy’’ + x’ = y2 (c) 2xyy’ – x2 = y2 (d) xyy’ + x2 = y2 Question 5: The solution of (x+ logy)dy +ydx =0 where y(0) =1 is (a) y(x−(A)) + ylogy = 0 (b) y(x−1+logy) + 1 = 0 (c) xy+ ylogy +1 = 0 (d) None of these Question 6: The number of arbitrary constants in the particular solution of a differential equation of third order is: (a) 3 (b) 2 (c) 1 (d) 0 Question 7: Question 8: