MCQOPTIONS
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MCQOPTIONS
This section includes 6 Mcqs, each offering curated multiple-choice questions to sharpen your Ordinary Differential Equations knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
In the equation, y = x2+c,c is known as the parameter and x and y are known as the main variables. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 2. |
A rectangular frame is to be made of 240 cm long. Determine the value of the length of the rectangle required to maximize the area. |
| A. | 24 cm |
| B. | 60 cm |
| C. | 240 cm |
| D. | 120 cm |
| Answer» C. 240 cm | |
| 3. |
What is the solution of the given equation?x6y6 dy + (x7y5 +1) dx = 0 |
| A. | ( frac{(xy)^6}{6} + lnx = c ) |
| B. | ( frac{(xy)^5}{6} + lny = c ) |
| C. | ( frac{(xy)^5}{5} + lnx = c ) |
| D. | ( frac{(xy)^6}{6} + lny = c ) |
| Answer» B. ( frac{(xy)^5}{6} + lny = c ) | |
| 4. |
What is the nature of the equation, (xy^3 ( frac{dy}{dx})^2+yx^2+ frac{dy}{dx}=0 )? |
| A. | Second order, third degree, linear differential equation |
| B. | First order, third degree, non-linear differential equation |
| C. | First order, third degree, linear differential equation |
| D. | Second order, third degree, non-linear differential equation |
| Answer» C. First order, third degree, linear differential equation | |
| 5. |
What is the differential equation of a family of parabolas with the foci at the origin and axis along the X-axis? |
| A. | 2xy + 4y(y )<sup>2</sup>-y=0 |
| B. | xy + y(y )<sup>2</sup>-y=0 |
| C. | 2xy + y(y )<sup>2</sup>-y=0 |
| D. | 2xy +2y(y )<sup>2</sup>-y=0 |
| Answer» D. 2xy +2y(y )<sup>2</sup>-y=0 | |
| 6. |
What is the slope of the equation, y= x2+8? |
| A. | 2x |
| B. | 0 |
| C. | 8 |
| D. | x |
| Answer» B. 0 | |