Category 21mat11

Solve 𝑑2𝑦/𝑑𝑥2 +𝑑𝑦/𝑑𝑥= 𝑥2 + 2𝑥 + 4

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

Solve (4𝐷^4 − 8𝐷^3 − 7𝐷^2 + 11𝐷 + 6)𝑦 = 0

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

Find the general and singular solutions of 𝑥𝑝^2+𝑥𝑝−𝑦𝑝+1−𝑦=0

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

Prove that the system of parabolas 𝑦^2= 4𝑎(𝑥 + 𝑎) are self-orthogonal

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

Solve (x^2 + y^3 + 6x)dx + y^2xdy = 0

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

Solve p^3 + 2xp^2 + y^2p^2 – 2xy^2 p = 0

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

Water at a temperature of 10°𝐶 takes 5 min to warm to 20°𝐶 at a room temp of 40°𝐶. Find the temp of the water after 20 min

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:-

Solve dy/dx+ y tan x = y^3sec x

5. A) Solve dy/dx+ y tan x = y3sec x Answer:-

Find the extreme values of x3+y3-3axy , a>=0

4. C) Find the extreme values of x3+y3-3axy , a>=0