Statement 1 : The order of the different...

Statement 1 : The order of the differential equation whose general solution is `y==c_1cos2x+c_2sin^2x+c_3cos^2x+c_4e^(2x)+c_5e^(2x+c_6)` is 3. Statement 2 : Total number of arbitrary parameters in the given general solution in the statement (1) is 3.

Similar Questions

Explore conceptually related problems

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) ?

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 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

The order of the differential equation whose general solution is given by y= (A +B) cos (x +C)+ De^(x) is

The order of the diferential equation whose general solution is given by y = c_(1)e^(2x+c_(2)) + c_(3)e^(x)+c_(4)sin (x+c_(5)) is

Order of the differential equation whose general solution is given by y=(c_(1)-3c_(2))*sin(x+c_(3))-c_(4)ln(c_(5)*x)^(c_(6)) is

The order of the differential equation whose general solution is given by y=(C_(1)+C_(2))sin(x+C_(3))-C_(4)e^(x+(C_(5)) , is

The order & the degree of the differential equation whose general solution is,y=c(x-c)^(2), are respectively

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