MCQOPTIONS
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MCQOPTIONS
This section includes 4 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the particular solution of the differential equation \(\frac{dy}{dx}+8x=16x^2+4\) given that y=\(\frac{1}{3}\) when x=1. |
| A. | y=\(\frac{(2x+1)^2}{3}\) |
| B. | y=\(\frac{(4x+1)^2}{12}\) |
| C. | y=\(\frac{(4x-2)^2}{3}\) |
| D. | y=\(\frac{(2x-1)^2}{3}\) |
| Answer» E. | |
| 2. |
Find the particular solution of the differential equation \(\frac{dy}{dx}\)+2x=5 given that y=5, when x=1. |
| A. | y=5x+x2+1 |
| B. | y=x-x2+4 |
| C. | y=5x-x2+1 |
| D. | y=5x-x2 |
| Answer» D. y=5x-x2 | |
| 3. |
Find the general solution of the differential equation \(\frac{dy}{dx}=\frac{y-3}{x-3}\) (x, y≠3). |
| A. | x-3=0 |
| B. | y-3=0 |
| C. | y+3=0 |
| D. | x-3y=0 |
| Answer» C. y+3=0 | |
| 4. |
Find the general solution of the differential equation \(\frac{dy}{dx}=5x^2+2\). |
| A. | 10x3+12x-3y2+C=0 |
| B. | 12x-3y2+C=0 |
| C. | 10x3+12x-y2+C=0 |
| D. | 10x2-3y2+C=0 |
| Answer» B. 12x-3y2+C=0 | |