Question 3 (PLO-2,CLO-2,C3) a) Solve the orthogonal trajectories of the following curves. r = cy2 b)...
Question 1 (PLO-2,CLO-2,C3)Marks-(12+13 a) Solve the following Differential Equation. (x2 – 3y2)dx + 2xydy = 0 b) Demonstrate whether the given differential equation is exact.If it is exact, Solve it. x+y dx dy = 0 y-1 2 y-1
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
Question 3 3 pts The orthogonal trajectories of the family of curves x2 = 2y - 1+ Ce-2y, where is an arbitrary constant, is given by the family of curves None of them 2 + y2 Alt + k where k is an arbitrary constant 4 xy? + k, where k is an arbitrary constant 4 O x? y + k where k is an arbitrary constant 4 x2 + y = + k, where K is an arbitrary constant...
Solve A,B,C,D step by step please 2.- Obtain the general solution of the following homogeneous differential equations A. y dx - (2x2 + 3xy)dy = 0 B. y' y2- 3xy C. y(In y2 – In x2 + 1)dx – xdy = 0; y(1) = e" D. y' = (x+y-1,; y(0) = 1
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...
Question 3 The orthogonal trajectories of the family of curves go? = 2y - 1+ Ce-2y, where is an arbitrary constant, is given by the family of curves + kwhere is an arbitrary constant o 2 + y2 + k where K is an arbitrary constant 4 None of them C zy +k where x is an arbitrary constant 4 24 2 + y = + k, where k is an arbitrary constant 4
This document consists of 04 printed pages [Turn over Question 1 (CLO 1, PLO 2, C3) Calculate the total energy in a damped system with frequency 2 rad's and damping ratio ( = 0.01 with mass 10 kg for the case xo = 0.1 m and vp=0. [25] I Rocker arm Follower Valve spring Oil Question 2 (CLO 1, PLO 2, C3) A rough sketch of a valve-and-rocker arm system for an internal combustion engine is given in Figure OHT...
please show work 3 pts Question 3 The orthogonal trajectories of the family of curves ? = 2y - 1+ Ce-2y, where is an arbitrary constant, is given by the family of curves way + where k is an arbitrary constant 4 x + + where K is an arbitrary constant 4 None of them 2y + where K is an arbitrary constant 4 o 22 + y = + k, where k is an arbitrary constant 4.
The orthogonal trajectories of the family of curves 22 = 2y - 1+ Ce-24, where is an arbitrary constant, is given by the family of curves xy² +k where k is an arbitrary constant 4 None of them za y - where k is an arbitrary constant +k 4 o 22 + y + k, where K is an arbitrary constant 4 0 3+ y2 where K is an arbitrary constant Question 4 3 pts Newton's Law of Cooling states...
please show all steps 1.) 2.) 3. (a) In each of (1) and (2), determine whether the given equation is linear, separable, Bernoulli, homogeneous, or none of these. (1) y = yenye (2) x²y = 3x cos(2x) + 3xy (b) Find the general solution of (1). Given the one-parameter family y3 = 3 +Cx? (a) Find the differential equation for the family. (b) Find the differential equation for the family of orthogonal trajectories. (e) Find the family of orthogonal trajectories....