Category solved model papers

8. B) Solve 𝑑2𝑦/𝑑𝑥2 + 4𝑑𝑦/𝑑𝑥+3𝑦 = 𝑠𝑖𝑛𝑥 Answer:-

8. A)Solve ( 𝑑3𝑦/𝑑𝑥3 − 5𝑑2𝑦/𝑑𝑥2 + 7𝑑𝑦/𝑑𝑥− 3𝑦) = 𝑒2𝑥 Answer:-

7. C) Using the method of Variation of parameters, solve 𝑑2𝑦/𝑑𝑥2 − 6𝑑𝑦/𝑑𝑥+9𝑦 =𝑒3𝑥/𝑥2 Answer:-

7. B) Solve 𝑑2𝑦/𝑑𝑥2 +𝑑𝑦/𝑑𝑥= 𝑥2 + 2𝑥 + 4 Answer:-

7. A) Solve (4𝐷4 − 8𝐷3 − 7𝐷2 + 11𝐷 + 6)𝑦 = 0 Answer:-

6. C) Find the general and singular solutions of 𝑥𝑝2 + 𝑥𝑝 − 𝑦𝑝 + 1 − 𝑦 = 0 Answer:-

6. B) Prove that the system of parabolas 𝑦2 = 4𝑎(𝑥 + 𝑎) are self-orthogonal Answer:-

6. A) Solve (x2 + y3 + 6x)dx + y2xdy = 0 Answer:-

5. C) Solve p3 + 2xp2 + y2p2 – 2xy2p = 0 Answer:-

5. B) Water at temperature 10°𝐶 takes 5 minutes to warm up to 20°𝐶 at a roomtemperature of 40°𝐶. Find the temperature of the water after 20 minutes. Answer:-