Order and Degree of Differential Equation
Differential Equation

87084 If \(m\) and \(n\) are degree and order of \(\left(1+y_{1}^{2}\right)^{2 / 3}=y_{2}\), then the value of \(\frac{m+n}{m-n}\) is

1 3
2 4
3 5
4 2
Differential Equation

87085 The order and the degree of the differential
equation \(\left[1+\left(\frac{\mathbf{d y}}{\mathbf{d x}}\right)^{3}\right]^{\frac{7}{3}}=7\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)\) are

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

87086 The order and degree of the differential
equation \(\sqrt{\mathbf{1 + \frac { 1 } { ( \frac { \mathbf { d y } } { \mathbf { d x } } ) ^ { \mathbf { 2 } } }}}=\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)^{\frac{3}{2}}\) are respectively

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

87087 The order of the differential equation of all circles which is lie in the first quadrant and touch both the axis is

1 four
2 one
3 three
4 two
Differential Equation

87084 If \(m\) and \(n\) are degree and order of \(\left(1+y_{1}^{2}\right)^{2 / 3}=y_{2}\), then the value of \(\frac{m+n}{m-n}\) is

1 3
2 4
3 5
4 2
Differential Equation

87085 The order and the degree of the differential
equation \(\left[1+\left(\frac{\mathbf{d y}}{\mathbf{d x}}\right)^{3}\right]^{\frac{7}{3}}=7\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)\) are

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

87086 The order and degree of the differential
equation \(\sqrt{\mathbf{1 + \frac { 1 } { ( \frac { \mathbf { d y } } { \mathbf { d x } } ) ^ { \mathbf { 2 } } }}}=\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)^{\frac{3}{2}}\) are respectively

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

87087 The order of the differential equation of all circles which is lie in the first quadrant and touch both the axis is

1 four
2 one
3 three
4 two
Differential Equation

87084 If \(m\) and \(n\) are degree and order of \(\left(1+y_{1}^{2}\right)^{2 / 3}=y_{2}\), then the value of \(\frac{m+n}{m-n}\) is

1 3
2 4
3 5
4 2
Differential Equation

87085 The order and the degree of the differential
equation \(\left[1+\left(\frac{\mathbf{d y}}{\mathbf{d x}}\right)^{3}\right]^{\frac{7}{3}}=7\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)\) are

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

87086 The order and degree of the differential
equation \(\sqrt{\mathbf{1 + \frac { 1 } { ( \frac { \mathbf { d y } } { \mathbf { d x } } ) ^ { \mathbf { 2 } } }}}=\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)^{\frac{3}{2}}\) are respectively

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

87087 The order of the differential equation of all circles which is lie in the first quadrant and touch both the axis is

1 four
2 one
3 three
4 two
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Differential Equation

87084 If \(m\) and \(n\) are degree and order of \(\left(1+y_{1}^{2}\right)^{2 / 3}=y_{2}\), then the value of \(\frac{m+n}{m-n}\) is

1 3
2 4
3 5
4 2
Differential Equation

87085 The order and the degree of the differential
equation \(\left[1+\left(\frac{\mathbf{d y}}{\mathbf{d x}}\right)^{3}\right]^{\frac{7}{3}}=7\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)\) are

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

87086 The order and degree of the differential
equation \(\sqrt{\mathbf{1 + \frac { 1 } { ( \frac { \mathbf { d y } } { \mathbf { d x } } ) ^ { \mathbf { 2 } } }}}=\left(\frac{\mathbf{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}\right)^{\frac{3}{2}}\) are respectively

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

87087 The order of the differential equation of all circles which is lie in the first quadrant and touch both the axis is

1 four
2 one
3 three
4 two