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solution of differential Equation



12. (2y² + 3xy-2y+6x)dx + x(x+2y-1)dy=0



13.ydx + (3x xy + 2)dy = 0



14. (x³ + xy² + y)dx + (y² + x²y + x)dy = 0



15. (x² + y²)dx-xydy = 0



16.eyy' = x cos x



17. y'=x-2y cot 2x

solution of the Differential equation


7. (1+y² + xy²)dx + (x²y + y + 2xy)dy =0

8. 2ydx + x(x² Iny-1)dy = 0

9. y(2x+y²)dx + x(y²-x)dy = 0

10.(3x²-2y2)y' = 2xy; x = 1, y = 1

11.(2x-3y)dx + (2y-3x)dy; x = 1, y = 1


Solve the differentia; equation. w/ solution

6. xydx-(x+2y)²dy = 0


solve the differential equation. w/ a solution


2.(r+sin-cos)dr+r(sin + cos 0)d=0


solve the differential equation. w/ a solution



4. y(2x-y + 1)dx + x(3x-4y + 3)dy=0


solve the differential equation. w/ a solution

3. y(3x²-x+y)dx+x²(1-x2)dy=0


Find the differential equation.


1. y' = y secx;


Chapter:4 Air pollution Sampling and Measurement




1. What do you meant by Air Quality monitoring? What is its importance?




2. List out the types of air quality measurement and also define them.




3. Mention the basic considerations during air sampling.




4. Write a short-note on collection of gaseous pollutant from ambient atmosphere. Also list out




the drawbacks of various collection methods for the gaseous air pollutant.




5. Explain following in details: (i) High-volume sampler (ii) Tape Sampler (iii) Impingement (iv)




Electrostatic precipitation (v) Thermal Precipitation




6. Describe Stack sampling.




7. Describe traverse point in detail.




8. With neat sketch explain various “ISOKINETIC TECHNIQUE” for sampling particulate-laden




gas stream from stack.




9. How gas sample is collected from a stack?




10. Discuss about the analysis of air pollutants.

a method that is considered the best way of adjusting survey data particularly for very precise measurements


The sides of a triangle measuring 40 m, 32 m, and 16 m increase at the rates of 2 m/s, 5 m/s, and 3 m/s, respectively. How fast is the area of the triangle changing?





a. 138.42 m^2/s



b. 113.69 m/s



c. 127.33 m^2/s



d. 113.69 m^2/s

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