Order and Degree of Differential Equation
Differential Equation

87158 The order and degree of the differential equation \(\left(y^{\prime \prime \prime}\right)^{2}+\left(y^{\prime \prime}\right)^{3}-\left(y^{\prime}\right)^{4}+y^{5}=0\) is

1 3 and 2
2 1 and 2
3 2 and 3
4 1 and 4
5 3 and 5
Differential Equation

87159 The order of the differential equation
\(\left(\frac{d^{3} y}{d x^{3}}\right)^{2}+\left(\frac{d^{2} y}{d x^{2}}\right)^{2}+\left(\frac{d y}{d x}\right)^{5}=0\) is

1 3
2 4
3 1
4 5
5 6
Differential Equation

87088 The order of the differential equation of all circles whose radius is 4 , is

1 4
2 3
3 2
4 1
Differential Equation

87090 If \(m\) and \(n\) are order and degree respectively of the differential equation.
\(\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)^{\mathbf{5}}+\mathbf{4} \frac{\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)^{\mathbf{3}}}{\left(\frac{\mathbf{d}^{3} \mathbf{y}}{\mathbf{d x}^{3}}\right)}+\left(\frac{\mathbf{d}^{3} \mathbf{y}}{\mathbf{d x}^{3}}\right)=\mathbf{x}^{2}-\mathbf{1}\), then

1 \(\mathrm{m}=3, \mathrm{n}=3\)
2 \(\mathrm{m}=3, \mathrm{n}=2\)
3 \(\mathrm{m}=3, \mathrm{n}=5\)
4 \(\mathrm{m}=3, \mathrm{n}=1\)
Differential Equation

87158 The order and degree of the differential equation \(\left(y^{\prime \prime \prime}\right)^{2}+\left(y^{\prime \prime}\right)^{3}-\left(y^{\prime}\right)^{4}+y^{5}=0\) is

1 3 and 2
2 1 and 2
3 2 and 3
4 1 and 4
5 3 and 5
Differential Equation

87159 The order of the differential equation
\(\left(\frac{d^{3} y}{d x^{3}}\right)^{2}+\left(\frac{d^{2} y}{d x^{2}}\right)^{2}+\left(\frac{d y}{d x}\right)^{5}=0\) is

1 3
2 4
3 1
4 5
5 6
Differential Equation

87088 The order of the differential equation of all circles whose radius is 4 , is

1 4
2 3
3 2
4 1
Differential Equation

87090 If \(m\) and \(n\) are order and degree respectively of the differential equation.
\(\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)^{\mathbf{5}}+\mathbf{4} \frac{\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)^{\mathbf{3}}}{\left(\frac{\mathbf{d}^{3} \mathbf{y}}{\mathbf{d x}^{3}}\right)}+\left(\frac{\mathbf{d}^{3} \mathbf{y}}{\mathbf{d x}^{3}}\right)=\mathbf{x}^{2}-\mathbf{1}\), then

1 \(\mathrm{m}=3, \mathrm{n}=3\)
2 \(\mathrm{m}=3, \mathrm{n}=2\)
3 \(\mathrm{m}=3, \mathrm{n}=5\)
4 \(\mathrm{m}=3, \mathrm{n}=1\)
Differential Equation

87158 The order and degree of the differential equation \(\left(y^{\prime \prime \prime}\right)^{2}+\left(y^{\prime \prime}\right)^{3}-\left(y^{\prime}\right)^{4}+y^{5}=0\) is

1 3 and 2
2 1 and 2
3 2 and 3
4 1 and 4
5 3 and 5
Differential Equation

87159 The order of the differential equation
\(\left(\frac{d^{3} y}{d x^{3}}\right)^{2}+\left(\frac{d^{2} y}{d x^{2}}\right)^{2}+\left(\frac{d y}{d x}\right)^{5}=0\) is

1 3
2 4
3 1
4 5
5 6
Differential Equation

87088 The order of the differential equation of all circles whose radius is 4 , is

1 4
2 3
3 2
4 1
Differential Equation

87090 If \(m\) and \(n\) are order and degree respectively of the differential equation.
\(\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)^{\mathbf{5}}+\mathbf{4} \frac{\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)^{\mathbf{3}}}{\left(\frac{\mathbf{d}^{3} \mathbf{y}}{\mathbf{d x}^{3}}\right)}+\left(\frac{\mathbf{d}^{3} \mathbf{y}}{\mathbf{d x}^{3}}\right)=\mathbf{x}^{2}-\mathbf{1}\), then

1 \(\mathrm{m}=3, \mathrm{n}=3\)
2 \(\mathrm{m}=3, \mathrm{n}=2\)
3 \(\mathrm{m}=3, \mathrm{n}=5\)
4 \(\mathrm{m}=3, \mathrm{n}=1\)
Differential Equation

87158 The order and degree of the differential equation \(\left(y^{\prime \prime \prime}\right)^{2}+\left(y^{\prime \prime}\right)^{3}-\left(y^{\prime}\right)^{4}+y^{5}=0\) is

1 3 and 2
2 1 and 2
3 2 and 3
4 1 and 4
5 3 and 5
Differential Equation

87159 The order of the differential equation
\(\left(\frac{d^{3} y}{d x^{3}}\right)^{2}+\left(\frac{d^{2} y}{d x^{2}}\right)^{2}+\left(\frac{d y}{d x}\right)^{5}=0\) is

1 3
2 4
3 1
4 5
5 6
Differential Equation

87088 The order of the differential equation of all circles whose radius is 4 , is

1 4
2 3
3 2
4 1
Differential Equation

87090 If \(m\) and \(n\) are order and degree respectively of the differential equation.
\(\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)^{\mathbf{5}}+\mathbf{4} \frac{\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)^{\mathbf{3}}}{\left(\frac{\mathbf{d}^{3} \mathbf{y}}{\mathbf{d x}^{3}}\right)}+\left(\frac{\mathbf{d}^{3} \mathbf{y}}{\mathbf{d x}^{3}}\right)=\mathbf{x}^{2}-\mathbf{1}\), then

1 \(\mathrm{m}=3, \mathrm{n}=3\)
2 \(\mathrm{m}=3, \mathrm{n}=2\)
3 \(\mathrm{m}=3, \mathrm{n}=5\)
4 \(\mathrm{m}=3, \mathrm{n}=1\)