y'' + y = teit Include the starting particular solution with unknown functions of t: A...

y'' + y = te^it

Include the starting particular solution with unknown functions of t: A and B. Identify the system of equations to solve to find A' and B'. Write the integrals to solve to find A and B. Solve the integrals to find A and B. Write the particular solution that results from Variation of Parameters.

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milcah answered 2 years ago

find a particular solution to y"-2y'+y=-12.5e^t

Find a particular solution to the following non homogenous equations 1) y''' + y = t^3...

Find a particular solution to the following non homogenous equations 1) y''' + y = t^3 + sin (t) + 11e^t 2) y'' + y = 2tsin(t) 3) y''''' - 4 y''' = e^2t + t^2 +5t + 4

Find the particular solution: y″−4y′+4y=(−11.5e^(2t))/(t^(2)+1)

Find a particular solution to y''+6y'+9y=(-18.5e^(-3t))/(t^2+1)

Find the particular solution to the equation. y''-4y'+5y=(e^(2t))(sec(t))

Let y(t) = (1 + t)^2 solution of the differential equation y´´ (t) + p (t) y´...

Let y(t) = (1 + t)^2 solution of the differential equation y´´ (t) + p (t) y´ (t) + q (t) y (t) = 0 (*) If the Wronskian of two solutions of (*) equals three. (a) ffind p(t) and q(t) (b) Solve y´´ (t) + p (t) y´ (t) + q (t) y (t) = 1 + t

y1(t) = (1+t)2 is a solution to y'' + p(t)y' + q(t)y = 0. Find a...

y1(t) = (1+t)2 is a solution to y'' + p(t)y' + q(t)y = 0. Find a second solution that is linearly indepentent of y1(t).

Find the general solution of this differential equation: y'''+y''+y'+y=4e^(-t)+4sin(t)

y′ = t, y(0) = 1, solution: y(t) = 1+t2/2 y′ = 2(t + 1)y, y(0)...

y′ = t, y(0) = 1, solution: y(t) = 1+t2/2 y′ = 2(t + 1)y, y(0) = 1, solution: y(t) = et2+2t y′ = 5t4y, y(0) = 1, solution: y(t) = et5 y′ = t3/y2, y(0) = 1, solution: y(t) = (3t4/4 + 1)1/3 For the IVPs above, make a log-log plot of the error of Backward Euler and Implicit Trapezoidal Method, at t = 1 as a function of hwithh=0.1×2−k for0≤k≤5.

y′ = t, y(0) = 1, solution: y(t) = 1+t2/2 y′ = 2(t + 1)y, y(0)...

y′ = t, y(0) = 1, solution: y(t) = 1+t2/2 y′ = 2(t + 1)y, y(0) = 1, solution: y(t) = et2+2t y′ = 5t4y, y(0) = 1, solution: y(t) = et5 y′ = t3/y2, y(0) = 1, solution: y(t) = (3t4/4 + 1)1/3 For the IVPs above, make a log-log plot of the error of Explicit Trapezoidal Rule at t = 1 as a function ofhwithh=0.1×2−k for0≤k≤5.

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y'' + y = teit Include the starting particular solution with unknown functions of t: A...

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find a particular solution to y"-2y'+y=-12.5e^t

Find a particular solution to the following non homogenous equations 1) y''' + y = t^3...

Find the particular solution: y″−4y′+4y=(−11.5e^(2t))/(t^(2)+1)

Find a particular solution to y''+6y'+9y=(-18.5e^(-3t))/(t^2+1)

Find the particular solution to the equation. y''-4y'+5y=(e^(2t))(sec(t))

Let y(t) = (1 + t)^2 solution of the differential equation y´´ (t) + p (t) y´...

y1(t) = (1+t)2 is a solution to y'' + p(t)y' + q(t)y = 0. Find a...

Find the general solution of this differential equation: y'''+y''+y'+y=4e^(-t)+4sin(t)

y′ = t, y(0) = 1, solution: y(t) = 1+t2/2 y′ = 2(t + 1)y, y(0)...

y′ = t, y(0) = 1, solution: y(t) = 1+t2/2 y′ = 2(t + 1)y, y(0)...