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...
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 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 =
Solve the initial value problem 2yy'+3=y2+3x with y(0)=4a. To solve this, we should use the substitution u=With this substitution,y=y'=uEnter derivatives using prime notation (e.g., you would enter y' for dy/dx ).b. After the substitution from the previous part, we obtain the following linear differential equation in x, u, u'c. The solution to the original initial value problem is described by the following equation in x, y.
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...
(1 point) In this exercise you will solve the initial value problem e-9 y" – 184' +81y = 4472; y(0) = -3, v'(0) = -2. (1) Let C and Cybe arbitrary constants. The general solution to the related homogeneous differential equation y" – 18y' +81y = 0 is the function yh() = C1 yı() + C2 y2() = C1 +C2 NOTE: The order in which you enter the answers is important; that is, Cif(T) + C29(2) #C19() +C2f(). is of...
Question 1 3 pts The solution of the Initial-Value Problem (IVP) S (x + y)dx – «dy = 0 is given by 1 y(1) = 0 Oy=det-1 - 1 Oy= < ln(x + y) Oy= (x + y) In x Oy= < In x None of them Question 2 3 pts The general solution of the first order non-homogeneous linear differential equation with variable coefficients dy (x + 1) + xy = e-">-1 equals dx 2 Oy=e* (C(x - 1)...
(15 points) Solve the initial value problem y' = (x + y - 1)? with y(0) = 0. a. To solve this, we should use the substitution help (formulas) help (formulas) Enter derivatives using prime notation (e.g.. you would enter y' for '). u= b. After the substitution from the previous part, we obtain the following linear differential equation in 2, u, u'. help (equations) c. The solution to the original initial value problem is described by the following equation...
No 4. Solve the differential equation dy dx . Solve the initial value problem: y" + 3y' + 2y 10 cosx, y(0) 1,y'(0) 0
Зрт Question 1 f (x + y)da - ady=0 The solution of the Initial-Value Problem (IVP) 1 y(1) = 0 is given by Oy= (x + y) In a Oy = x In a Oy= « ln(x + y) 3 = teº-1 None of them n Question 2 3 pts The general solution of the first order non-homogeneous linear differential equation with variable dy coefficients (a +1) + xy = e > -1 equals da 3 Oy= e-* [C(x2 -...
Question 8 (10 marks) Solve the following initial value problem by means of a power series about the ordinary point x=0 y" + 3x?y' + xy = 0, y0)=2, y0) - 6 Find the recurrence relation for the coefficients, and also find the first five non-zero terms of the power series solution