Miscellaneous Application of Differential Equation
Differential Equation

87593 The solution of \(\left(2 x-10 y^{3}\right) \frac{d y}{d x}+y=0\) is

1 \(x^{2}=2 y^{5}+C\)
2 \(\mathrm{yx}^{2}=2 \mathrm{y}^{5}+\mathrm{C}\)
3 \(x^{2} y^{2}=2 y^{5}+C\)
4 None of these
Differential Equation

87595 Cube root of 18 by using Newton- Raphson method will be

1 2.26
2 2.620
3 2.602
4 None of these
Differential Equation

87598 A curve is drawn to pass through the points given by the following table.
| $\mathbf{x}$ | 1 | 1.5 | 2 | 2.5 | 3 | 3.5 | 4 |
| :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
| $\mathbf{y}$ | 2 | 2.4 | 2.7 | 2.8 | 3 | 2.6 | 2.1 |
Using Simpson's 1/3rd rule, estimate the area bounded by the curve, the \(x\)-axis and the lines \(\mathrm{x}=\mathbf{1}, \mathrm{x}=4\)

1 7.74 sq units
2 7.76 sq units
3 7.78 sq units
4 7.82 sq units
Differential Equation

87600 Calculate by Trapezoidal rule an approximate value of \(\int_{-3}^{3} x^{4}\) by taking seven equidistant ordinates

1 98
2 97.2
3 100
4 115
Differential Equation

87593 The solution of \(\left(2 x-10 y^{3}\right) \frac{d y}{d x}+y=0\) is

1 \(x^{2}=2 y^{5}+C\)
2 \(\mathrm{yx}^{2}=2 \mathrm{y}^{5}+\mathrm{C}\)
3 \(x^{2} y^{2}=2 y^{5}+C\)
4 None of these
Differential Equation

87595 Cube root of 18 by using Newton- Raphson method will be

1 2.26
2 2.620
3 2.602
4 None of these
Differential Equation

87598 A curve is drawn to pass through the points given by the following table.
| $\mathbf{x}$ | 1 | 1.5 | 2 | 2.5 | 3 | 3.5 | 4 |
| :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
| $\mathbf{y}$ | 2 | 2.4 | 2.7 | 2.8 | 3 | 2.6 | 2.1 |
Using Simpson's 1/3rd rule, estimate the area bounded by the curve, the \(x\)-axis and the lines \(\mathrm{x}=\mathbf{1}, \mathrm{x}=4\)

1 7.74 sq units
2 7.76 sq units
3 7.78 sq units
4 7.82 sq units
Differential Equation

87600 Calculate by Trapezoidal rule an approximate value of \(\int_{-3}^{3} x^{4}\) by taking seven equidistant ordinates

1 98
2 97.2
3 100
4 115
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Differential Equation

87593 The solution of \(\left(2 x-10 y^{3}\right) \frac{d y}{d x}+y=0\) is

1 \(x^{2}=2 y^{5}+C\)
2 \(\mathrm{yx}^{2}=2 \mathrm{y}^{5}+\mathrm{C}\)
3 \(x^{2} y^{2}=2 y^{5}+C\)
4 None of these
Differential Equation

87595 Cube root of 18 by using Newton- Raphson method will be

1 2.26
2 2.620
3 2.602
4 None of these
Differential Equation

87598 A curve is drawn to pass through the points given by the following table.
| $\mathbf{x}$ | 1 | 1.5 | 2 | 2.5 | 3 | 3.5 | 4 |
| :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
| $\mathbf{y}$ | 2 | 2.4 | 2.7 | 2.8 | 3 | 2.6 | 2.1 |
Using Simpson's 1/3rd rule, estimate the area bounded by the curve, the \(x\)-axis and the lines \(\mathrm{x}=\mathbf{1}, \mathrm{x}=4\)

1 7.74 sq units
2 7.76 sq units
3 7.78 sq units
4 7.82 sq units
Differential Equation

87600 Calculate by Trapezoidal rule an approximate value of \(\int_{-3}^{3} x^{4}\) by taking seven equidistant ordinates

1 98
2 97.2
3 100
4 115
Differential Equation

87593 The solution of \(\left(2 x-10 y^{3}\right) \frac{d y}{d x}+y=0\) is

1 \(x^{2}=2 y^{5}+C\)
2 \(\mathrm{yx}^{2}=2 \mathrm{y}^{5}+\mathrm{C}\)
3 \(x^{2} y^{2}=2 y^{5}+C\)
4 None of these
Differential Equation

87595 Cube root of 18 by using Newton- Raphson method will be

1 2.26
2 2.620
3 2.602
4 None of these
Differential Equation

87598 A curve is drawn to pass through the points given by the following table.
| $\mathbf{x}$ | 1 | 1.5 | 2 | 2.5 | 3 | 3.5 | 4 |
| :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
| $\mathbf{y}$ | 2 | 2.4 | 2.7 | 2.8 | 3 | 2.6 | 2.1 |
Using Simpson's 1/3rd rule, estimate the area bounded by the curve, the \(x\)-axis and the lines \(\mathrm{x}=\mathbf{1}, \mathrm{x}=4\)

1 7.74 sq units
2 7.76 sq units
3 7.78 sq units
4 7.82 sq units
Differential Equation

87600 Calculate by Trapezoidal rule an approximate value of \(\int_{-3}^{3} x^{4}\) by taking seven equidistant ordinates

1 98
2 97.2
3 100
4 115