Order and Degree of Differential Equation
Differential Equation

87079 The order of the differential equation \(y=C_{1} e^{C_{2}+x}+C_{3} e^{C_{4}+x}\) is

1 1
2 3
3 2
4 4
Differential Equation

87080 The degree and order of the differential equation \(\frac{d^{2} y}{d x^{2}}=\sqrt[3]{1+\left(\frac{d y}{d x}\right)^{2}}\) respectively are

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

87082 The order and degree of the differential
equation \(y=x \frac{d y}{d x}+\frac{2}{\frac{d y}{d x}}\) is

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

87106 The solution of the equation \(\frac{d y}{d x}=\sqrt{\frac{1-y^{2}}{1-x^{2}}}\) is

1 \(\sin ^{-1} y-\sin ^{-1} x=c\)
2 \(\sin ^{-1} y+\sin ^{-1} x=c\)
3 \(\sin ^{-1}(x y)=2\)
4 None of the above
Differential Equation

87135 Find the degree of the differential equation
\(\mathrm{y}_{3}^{2 / 3}+2+3 \mathrm{y}_{2}+\mathrm{y}_{1}=0\)

1 4
2 2
3 3
4 1
Differential Equation

87079 The order of the differential equation \(y=C_{1} e^{C_{2}+x}+C_{3} e^{C_{4}+x}\) is

1 1
2 3
3 2
4 4
Differential Equation

87080 The degree and order of the differential equation \(\frac{d^{2} y}{d x^{2}}=\sqrt[3]{1+\left(\frac{d y}{d x}\right)^{2}}\) respectively are

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

87082 The order and degree of the differential
equation \(y=x \frac{d y}{d x}+\frac{2}{\frac{d y}{d x}}\) is

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

87106 The solution of the equation \(\frac{d y}{d x}=\sqrt{\frac{1-y^{2}}{1-x^{2}}}\) is

1 \(\sin ^{-1} y-\sin ^{-1} x=c\)
2 \(\sin ^{-1} y+\sin ^{-1} x=c\)
3 \(\sin ^{-1}(x y)=2\)
4 None of the above
Differential Equation

87135 Find the degree of the differential equation
\(\mathrm{y}_{3}^{2 / 3}+2+3 \mathrm{y}_{2}+\mathrm{y}_{1}=0\)

1 4
2 2
3 3
4 1
Differential Equation

87079 The order of the differential equation \(y=C_{1} e^{C_{2}+x}+C_{3} e^{C_{4}+x}\) is

1 1
2 3
3 2
4 4
Differential Equation

87080 The degree and order of the differential equation \(\frac{d^{2} y}{d x^{2}}=\sqrt[3]{1+\left(\frac{d y}{d x}\right)^{2}}\) respectively are

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

87082 The order and degree of the differential
equation \(y=x \frac{d y}{d x}+\frac{2}{\frac{d y}{d x}}\) is

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

87106 The solution of the equation \(\frac{d y}{d x}=\sqrt{\frac{1-y^{2}}{1-x^{2}}}\) is

1 \(\sin ^{-1} y-\sin ^{-1} x=c\)
2 \(\sin ^{-1} y+\sin ^{-1} x=c\)
3 \(\sin ^{-1}(x y)=2\)
4 None of the above
Differential Equation

87135 Find the degree of the differential equation
\(\mathrm{y}_{3}^{2 / 3}+2+3 \mathrm{y}_{2}+\mathrm{y}_{1}=0\)

1 4
2 2
3 3
4 1
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Differential Equation

87079 The order of the differential equation \(y=C_{1} e^{C_{2}+x}+C_{3} e^{C_{4}+x}\) is

1 1
2 3
3 2
4 4
Differential Equation

87080 The degree and order of the differential equation \(\frac{d^{2} y}{d x^{2}}=\sqrt[3]{1+\left(\frac{d y}{d x}\right)^{2}}\) respectively are

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

87082 The order and degree of the differential
equation \(y=x \frac{d y}{d x}+\frac{2}{\frac{d y}{d x}}\) is

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

87106 The solution of the equation \(\frac{d y}{d x}=\sqrt{\frac{1-y^{2}}{1-x^{2}}}\) is

1 \(\sin ^{-1} y-\sin ^{-1} x=c\)
2 \(\sin ^{-1} y+\sin ^{-1} x=c\)
3 \(\sin ^{-1}(x y)=2\)
4 None of the above
Differential Equation

87135 Find the degree of the differential equation
\(\mathrm{y}_{3}^{2 / 3}+2+3 \mathrm{y}_{2}+\mathrm{y}_{1}=0\)

1 4
2 2
3 3
4 1
Differential Equation

87079 The order of the differential equation \(y=C_{1} e^{C_{2}+x}+C_{3} e^{C_{4}+x}\) is

1 1
2 3
3 2
4 4
Differential Equation

87080 The degree and order of the differential equation \(\frac{d^{2} y}{d x^{2}}=\sqrt[3]{1+\left(\frac{d y}{d x}\right)^{2}}\) respectively are

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

87082 The order and degree of the differential
equation \(y=x \frac{d y}{d x}+\frac{2}{\frac{d y}{d x}}\) is

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

87106 The solution of the equation \(\frac{d y}{d x}=\sqrt{\frac{1-y^{2}}{1-x^{2}}}\) is

1 \(\sin ^{-1} y-\sin ^{-1} x=c\)
2 \(\sin ^{-1} y+\sin ^{-1} x=c\)
3 \(\sin ^{-1}(x y)=2\)
4 None of the above
Differential Equation

87135 Find the degree of the differential equation
\(\mathrm{y}_{3}^{2 / 3}+2+3 \mathrm{y}_{2}+\mathrm{y}_{1}=0\)

1 4
2 2
3 3
4 1