Order and Degree of Differential Equation
Differential Equation

87108 Find the order and degree of the differential equation
\(\left(\frac{d^{4} y}{d x^{4}}\right)^{3 / 5}-5 \frac{d^{3} y}{d x^{3}}+6 \frac{d^{2} y}{d x^{2}}-8 \frac{d y}{d x}+5=0\)

1 4,3
2 3,4
3 4,5
4 5,4
Differential Equation

87109 The differential equation of all conics whose center is lie at the origin is of order

1 2
2 3
3 4
4 None of these
Differential Equation

87111 Order and degree of the differential equation
\(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}=\left\{\mathbf{y}+\left(\frac{\mathbf{d y}}{\mathbf{d x}}\right)^{2}\right\}^{\frac{1}{4}}\) are

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

87112 The order and degree of the differential
equation \(y=\frac{d y}{d x} x+\sqrt{a^{2}\left(\frac{d y}{d x}\right)^{2}+b^{2}}\) is

1 3,1
2 1,3
3 2,1
4 1,2
Differential Equation

87108 Find the order and degree of the differential equation
\(\left(\frac{d^{4} y}{d x^{4}}\right)^{3 / 5}-5 \frac{d^{3} y}{d x^{3}}+6 \frac{d^{2} y}{d x^{2}}-8 \frac{d y}{d x}+5=0\)

1 4,3
2 3,4
3 4,5
4 5,4
Differential Equation

87109 The differential equation of all conics whose center is lie at the origin is of order

1 2
2 3
3 4
4 None of these
Differential Equation

87111 Order and degree of the differential equation
\(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}=\left\{\mathbf{y}+\left(\frac{\mathbf{d y}}{\mathbf{d x}}\right)^{2}\right\}^{\frac{1}{4}}\) are

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

87112 The order and degree of the differential
equation \(y=\frac{d y}{d x} x+\sqrt{a^{2}\left(\frac{d y}{d x}\right)^{2}+b^{2}}\) is

1 3,1
2 1,3
3 2,1
4 1,2
Differential Equation

87108 Find the order and degree of the differential equation
\(\left(\frac{d^{4} y}{d x^{4}}\right)^{3 / 5}-5 \frac{d^{3} y}{d x^{3}}+6 \frac{d^{2} y}{d x^{2}}-8 \frac{d y}{d x}+5=0\)

1 4,3
2 3,4
3 4,5
4 5,4
Differential Equation

87109 The differential equation of all conics whose center is lie at the origin is of order

1 2
2 3
3 4
4 None of these
Differential Equation

87111 Order and degree of the differential equation
\(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}=\left\{\mathbf{y}+\left(\frac{\mathbf{d y}}{\mathbf{d x}}\right)^{2}\right\}^{\frac{1}{4}}\) are

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

87112 The order and degree of the differential
equation \(y=\frac{d y}{d x} x+\sqrt{a^{2}\left(\frac{d y}{d x}\right)^{2}+b^{2}}\) is

1 3,1
2 1,3
3 2,1
4 1,2
Differential Equation

87108 Find the order and degree of the differential equation
\(\left(\frac{d^{4} y}{d x^{4}}\right)^{3 / 5}-5 \frac{d^{3} y}{d x^{3}}+6 \frac{d^{2} y}{d x^{2}}-8 \frac{d y}{d x}+5=0\)

1 4,3
2 3,4
3 4,5
4 5,4
Differential Equation

87109 The differential equation of all conics whose center is lie at the origin is of order

1 2
2 3
3 4
4 None of these
Differential Equation

87111 Order and degree of the differential equation
\(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}=\left\{\mathbf{y}+\left(\frac{\mathbf{d y}}{\mathbf{d x}}\right)^{2}\right\}^{\frac{1}{4}}\) are

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

87112 The order and degree of the differential
equation \(y=\frac{d y}{d x} x+\sqrt{a^{2}\left(\frac{d y}{d x}\right)^{2}+b^{2}}\) is

1 3,1
2 1,3
3 2,1
4 1,2