Solve the initial value problem
+ y cot ? = ?3 sin ?, with y(?/2) = 1. (10pts)
Solve the initial value problem + y cot ? = ?3 sin ?, with y(?/2) =...
Consider the initial value problem (t-2) y" + cot(t) y' +ty=e', y( 3 ) = 41/3, ' ( 3 ) =- T/ 4. Without solving the equation, what is the largest interval in which a unique solution is guaranteed to exist?
ether they are on you will receive an Ffo 1. Solve the first-order differential equation dy - x2+xy+ya with y(-1) = 1. (10pts) dx 2. Solve the initial value problem dy + y cot x = y sin x, with y(1/2) = 1. (10pts) dx 3. Given the system of linear coun X2
Solve the initial value problem. y sin 0 , y y° + 1 1 dy Ө dө Зл %3D The solution is. (Type an implicit solution. Type an equation using 0 and y as the variables.)
10. Solve the initial value problem using Laplace transforms: y'+6y = 8 sin(2t), y(0) = 2
Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin it, y(0) = 13, y'(0) = 0 y(t) =
Solve the separable initial value problem. tan(sin(x^(2) 1. y' = 2x cos(x2)(1 + y2), y(0) = 5 → y= 2. v' = 8e4x(1 + y2), y(0) = 2 + y=
Use the Laplace transform to solve the given initial-value problem. y'' + y = sqrt2 sin( sqrt2 (t)), y(0) = 5, y'(0) = 0 y(t) =
Use the Laplace transform to solve the given initial-value problem.y'' + y = 2 sin(2t), y(0) = 11, y'(0) = 0y(t) =
Use the Laplace transform to solve the given initial-value problem.y'' + y = 2 sin(2t), y(0) = 11, y'(0) = 0y(t) =
Problem 3. Consider the initial value problem w y sin() 0 Convert the system into a single 3rd order equation and solve resulting initial value problem via Laplace transform method. Express your answer in terms of w,y, z. Problem 4 Solve the above problem by applying Laplace transform to the whole system without transferring it to a single equation. Do you get the same answer as in problem1? (Hint: Denote W(s), Y (s), Z(s) to be Laplace transforms of w(t),...