Order and Degree of Differential Equation
Differential Equation

87117 The order and degree of the differential equation
\(\left(\frac{d^{2} y}{d x^{2}}\right)+\left(\frac{d y}{d x}\right)^{1 / 3}+x^{1 / 4}=0 \text { are respectively }\)

1 2,3
2 3,3
3 2,6
4 2,4
Differential Equation

87118 What is the degree of the differential equation
\(\left(\frac{d^{3} y}{d x^{3}}\right)^{2 / 3}+4-3 \frac{d^{2} y}{d x^{2}}+5 \frac{d y}{d x}=0 ?\)

1 1
2 2
3 3
4 4
Differential Equation

87120 The order and degree of the differential equation \(\frac{\mathbf{d}^{2} y}{\mathbf{d x}^{2}}=\left\{y+\left(\frac{\mathbf{d y}}{\mathbf{d x}}\right)^{2}\right\}^{1 / 4}\) are given by

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

87121 The order and degree of the differential equation \(\left(y^{\prime}\right)^{4}=\sqrt{1-y^{\prime \prime \prime}}\) are respectively.

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

87122 What is the degree of the differential equation
\(x=1+x y\left(\frac{d y}{d x}\right)+\frac{x^{2} y^{2}}{2}\left(\frac{d y}{d x}\right)^{2}+\frac{x^{3} y^{3}}{6}\left(\frac{d y}{d x}\right)^{3}+. . ?\)

1 1
2 2
3 3
4 can not be determined
Differential Equation

87117 The order and degree of the differential equation
\(\left(\frac{d^{2} y}{d x^{2}}\right)+\left(\frac{d y}{d x}\right)^{1 / 3}+x^{1 / 4}=0 \text { are respectively }\)

1 2,3
2 3,3
3 2,6
4 2,4
Differential Equation

87118 What is the degree of the differential equation
\(\left(\frac{d^{3} y}{d x^{3}}\right)^{2 / 3}+4-3 \frac{d^{2} y}{d x^{2}}+5 \frac{d y}{d x}=0 ?\)

1 1
2 2
3 3
4 4
Differential Equation

87120 The order and degree of the differential equation \(\frac{\mathbf{d}^{2} y}{\mathbf{d x}^{2}}=\left\{y+\left(\frac{\mathbf{d y}}{\mathbf{d x}}\right)^{2}\right\}^{1 / 4}\) are given by

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

87121 The order and degree of the differential equation \(\left(y^{\prime}\right)^{4}=\sqrt{1-y^{\prime \prime \prime}}\) are respectively.

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

87122 What is the degree of the differential equation
\(x=1+x y\left(\frac{d y}{d x}\right)+\frac{x^{2} y^{2}}{2}\left(\frac{d y}{d x}\right)^{2}+\frac{x^{3} y^{3}}{6}\left(\frac{d y}{d x}\right)^{3}+. . ?\)

1 1
2 2
3 3
4 can not be determined
Differential Equation

87117 The order and degree of the differential equation
\(\left(\frac{d^{2} y}{d x^{2}}\right)+\left(\frac{d y}{d x}\right)^{1 / 3}+x^{1 / 4}=0 \text { are respectively }\)

1 2,3
2 3,3
3 2,6
4 2,4
Differential Equation

87118 What is the degree of the differential equation
\(\left(\frac{d^{3} y}{d x^{3}}\right)^{2 / 3}+4-3 \frac{d^{2} y}{d x^{2}}+5 \frac{d y}{d x}=0 ?\)

1 1
2 2
3 3
4 4
Differential Equation

87120 The order and degree of the differential equation \(\frac{\mathbf{d}^{2} y}{\mathbf{d x}^{2}}=\left\{y+\left(\frac{\mathbf{d y}}{\mathbf{d x}}\right)^{2}\right\}^{1 / 4}\) are given by

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

87121 The order and degree of the differential equation \(\left(y^{\prime}\right)^{4}=\sqrt{1-y^{\prime \prime \prime}}\) are respectively.

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

87122 What is the degree of the differential equation
\(x=1+x y\left(\frac{d y}{d x}\right)+\frac{x^{2} y^{2}}{2}\left(\frac{d y}{d x}\right)^{2}+\frac{x^{3} y^{3}}{6}\left(\frac{d y}{d x}\right)^{3}+. . ?\)

1 1
2 2
3 3
4 can not be determined
Differential Equation

87117 The order and degree of the differential equation
\(\left(\frac{d^{2} y}{d x^{2}}\right)+\left(\frac{d y}{d x}\right)^{1 / 3}+x^{1 / 4}=0 \text { are respectively }\)

1 2,3
2 3,3
3 2,6
4 2,4
Differential Equation

87118 What is the degree of the differential equation
\(\left(\frac{d^{3} y}{d x^{3}}\right)^{2 / 3}+4-3 \frac{d^{2} y}{d x^{2}}+5 \frac{d y}{d x}=0 ?\)

1 1
2 2
3 3
4 4
Differential Equation

87120 The order and degree of the differential equation \(\frac{\mathbf{d}^{2} y}{\mathbf{d x}^{2}}=\left\{y+\left(\frac{\mathbf{d y}}{\mathbf{d x}}\right)^{2}\right\}^{1 / 4}\) are given by

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

87121 The order and degree of the differential equation \(\left(y^{\prime}\right)^{4}=\sqrt{1-y^{\prime \prime \prime}}\) are respectively.

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

87122 What is the degree of the differential equation
\(x=1+x y\left(\frac{d y}{d x}\right)+\frac{x^{2} y^{2}}{2}\left(\frac{d y}{d x}\right)^{2}+\frac{x^{3} y^{3}}{6}\left(\frac{d y}{d x}\right)^{3}+. . ?\)

1 1
2 2
3 3
4 can not be determined
Differential Equation

87117 The order and degree of the differential equation
\(\left(\frac{d^{2} y}{d x^{2}}\right)+\left(\frac{d y}{d x}\right)^{1 / 3}+x^{1 / 4}=0 \text { are respectively }\)

1 2,3
2 3,3
3 2,6
4 2,4
Differential Equation

87118 What is the degree of the differential equation
\(\left(\frac{d^{3} y}{d x^{3}}\right)^{2 / 3}+4-3 \frac{d^{2} y}{d x^{2}}+5 \frac{d y}{d x}=0 ?\)

1 1
2 2
3 3
4 4
Differential Equation

87120 The order and degree of the differential equation \(\frac{\mathbf{d}^{2} y}{\mathbf{d x}^{2}}=\left\{y+\left(\frac{\mathbf{d y}}{\mathbf{d x}}\right)^{2}\right\}^{1 / 4}\) are given by

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

87121 The order and degree of the differential equation \(\left(y^{\prime}\right)^{4}=\sqrt{1-y^{\prime \prime \prime}}\) are respectively.

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

87122 What is the degree of the differential equation
\(x=1+x y\left(\frac{d y}{d x}\right)+\frac{x^{2} y^{2}}{2}\left(\frac{d y}{d x}\right)^{2}+\frac{x^{3} y^{3}}{6}\left(\frac{d y}{d x}\right)^{3}+. . ?\)

1 1
2 2
3 3
4 can not be determined