D.E whose solution is `y=e^(3x)(c_(1)cos x+c_(2)sin x)`

What is the order of the differential equation whose general solution is y=c_(1)cos2x+c_(2)sin^(2)x+c_(3)cos^(2)x+c_(4)e^(2x)+c_(5)e^(2x+c6) ?

Statement 1: The order of the differential equation whose general solution is y==c_(1)cos2x+c_(2)sin^(2)x+c_(3)cos^(2)x+c_(4)e^(2x)+c_(5)e^(2x+c_(0)) is 3. Statement 2: Total number of arbitrary parameters in the given general solution in the statement ( 1) is 3.

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

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=c_(1)sin x+c_(2)cos x where c_(1) and c_(2) are parameters,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

Find the differential equation for which the following value of y is the general solution: y=(c_1 cos x + c_2 sin x) e^(-x) + c_3 e^x

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)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"

The differential equation whose general solution is given by y=c_(1)cos(x+c_(2))-c_(3)e^((-x+c4))+(c_(5)sin x) where c_(1),c_(2),c_(3),c_(4),c_(5) are arbitrary constants is