Order of a Differential Equation

Q.

The order of the differential equation whose solution is $y=acosx+bsinx+c{e}^{-x}$ is

1. 3

2. 2

3. 1

4. None of these

Q. Order of a differential equation is the highest power of any derivative appearing in the differential equation

1. True
2. False

Q. The order of the differential 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

1. 5
2. 4
3. 3
4. 2

Q.

The order of the differential equation of all circles of radius r, having centre on y-axis and passing through the origin is

1. 1

2. 2

3. 3

4. 4

Q.

The order of the differential equation whose general solution is given by $y=c_{1}cos(2x+c_2)-(c_3+c_4)a^{x+c_5}+c_{6}sin(x-c_7)$, is

1. 3

2. 4

3. 5

4. 2