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_ The order of the differential, , is y = acosx + bsinx + ce~* is solution, , (a) 3 (b) 2, (c) 1 (d) none of these i, The order of the differential equation of all tangent, , lines to the parabola y = x2, is, (a) 1 (b) 2 (c) 3 (d) 4, , ‘The order of the differential ion whose general, solution is given by “es, , y=(C, +C,)cos (x +C,)-Cye**S, , where C;, C>, Cs, Cy, Cs are arbitrary constants, is, , (a) 5 (b) 4 (c) 3 (d) 2, , The order of the differential equation whose general, solution is given by y = (A + B) cos (x + C) + De*is, (a) 4 (b) 3 (c) 2 (d) 1, , ‘The differential equation of all circles of radius a is, of order, , (a) 2 (b) 3, , (c) 4 (d) none of these, , The differential equation of all circles in the first, quadrant which touch the coordinate axes is of, order, , (a) 1 (b) 2, (c) 3 (d) none of these, , . The differential equation of all parabolas whose axis, , of symmetry is along x-axis is of order, (a) 3 (b) 1, () 2 (d) none of these, , The degree of the differential equation satisfying, l-x* + y1-y? =a(x-yis, , (a) 1 (b) 2, (c) 3 (d)_ none of these, , . The degree of the equation satisfying the relatio, — 2, gtx? + fhe y? = Alay y? —yyl to?) is, , (a) 1 (b) 2, () 3 (d) none of these

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10., , ll., , rz., , 13., , The degree of differential equation of all curves, having normal of constant length c, is, , (a) 1 (b) 3, , (c) 4 (d) none of these, , The degree of the differential equation, av 2/3 d, et pe Bi, ( a? ] +4-3 dx O is, (a) 2 (b) 1, (c) 3 (d) none of these, The order and degree of the differential equation of, , all tangent lines to the parabola y* = 4x respectively, are, , (a) 2,2 (b) 3,1, , (c) 1,2 (d) 4,1, , The order and degree of the differential equation, , 3/2, 2, (4) |, p= = respectively are, , d*y, dx?, (a) 2,2 (b) 2,3, , (c) 2,1 (d) none of these

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14. The differential equation whose solution is, (x — h)? + (y - k)? = a? is (where a is a constant), , (a) dy) : dy, 1+(2) | -« iy, 2, » [H(ay] (3), (c) i+(2)f =«2( 2), , (d) none of these