Question 1 (PLO-2,CLO-2,C3)Marks-(12+13 a) Solve the following Differential Equation. (x2 – 3y2)dx + 2xydy = 0...
Question 4 a) Solve the Initial value problem. (PLO-3, CLO-3,C3) Marks-13 (x+1) - ny =e(x+1)n+1, y(0)=1 dx b) Solve the following non-linear first order ordinary differential equation. yp+ (x – y)p- xy = 0 (PLO-4, CLO-4,C4) Marks-12
Solve the differensial е чу (x²-3y² ) dx + 2xydy b) Demonstrate whether the given differential equation is exact.If it is exact, Solve it. +y dx dy = 0 y-1 2 y-1
Question 3 (PLO-2,CLO-2,C3) a) Solve the orthogonal trajectories of the following curves. r = cy2 b) Solve the following differential equation. (x2 +3xy + y2)dx – xdy =
4. Solve the exact differential equation. (1-2xy)dx + (4y3 - x2)dy 0 4. Solve the exact differential equation. (1-2xy)dx + (4y3 - x2)dy 0
Consider the following differential equation. (x2 − 4) dy dx + 4y = (x + 2)2 Consider the following differential equation. dy (x2 - 4) dx + 4y = (x + 2)2 Find the coefficient function P(x) when the given differential equation is written in the standard form dy dx + P(x)y = f(x). 4 P(x) = (x2 – 4) Find the integrating factor for the differential equation. SP(x) dx 1 Find the general solution of the given differential equation....
2. Solve the differential equation (2xy + y)dx + (x2 + 3.ry2 – 2y)dy = 0. Answer: x²y + xy3 – y2 = C.
Question 1 (CLO 1, PLO 2, C3): A flat plate with a surface area of 0.25 m moves above a parallel flat surface with a lubricant film of thickness 1.5 mm in between the two parallel surfaces. If the viscosity of the lubricant is 0.5 Pa-s, analyze the following: a. Damping constant b. Damping force developed when the plate moves with a velocity of 2 m/s. Question 2 (CLO 1, PLO 2, C3): A machine is subjected to the motion...
Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5 2+4)5 Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5 2+4)5
ho Question 1 Solve the separable DE. dy zy dx = dạy2 + x2 + 3y2 +3 »(+4) *+1) = 20+C y2 +1 In = 26 +0 y? + In 26 In (*+1) ==+0
solve the differential equation dy y(x - y) dx x2