The differential equation whose general solution is,`y=c_(1)sin x+c_(2)cos x` where `c_(1) and c_(2)` are parameters,is

The differential equation whose general solution is y =log x+c is

Differential equation whose general solution is y=c_(1)x+(c_(2))/(x) for all values of c_(1) and c_(2) is

The differential equation whose solution is y=c_1 cos ax + c_2 sin ax is

The order of the differential equation whose general solution is y = c_(1) cos 2x + c_(2) cos^(2) x + c_(3) sin^(2) x + c_(4) is

STATEMENT-1 : The differential equation whose general solution is y = c_(1).x + (c_(2))/(x) for all values of c_(1) , and c_(2) is linear equation. and STATEMENT-2 : The equation y = c_(1), x + (c_(2))/(x) has two arbitrary constants, so the corresponding differential equation is second order.

Order of the differential equation whose general solution is y = (ax)/(bx + c) , where a, b, c are arbitrary constants is

The order of the differential equation whose general solution is y=c_(1)sin^(3)x+c_(2)e^(2x)+c_(3)sin3x+c_(4)sin x+c_(5)e^(2x+c_(6) is (A) 2 , (B) 4 , (C) 3 , (D) "None of these"

Find the differential equation whose general solution is given by y=(c_(1)+c_(2))cos(x+c_(3))-c_(4)e^(x+c) , where c_(1),c_(2), c_(3), c_(4), c_(5) are arbitary constants.

The order of the differential equation whose general solution is y = (C_(1) + C_(2)) cos (x + C_(3)) - C_(4)e^(x^(4)) where C_(1), C_(2), C_(3) and C_(4) are arbitrary is

The order of the differential equation whose general solution is y=c_(1)cos2x+c_(2)cos^(2)x+c_(3)sin^(2)x+c_(4) is 2(b)4(c)3(d) None of these