Find a solution in the form of a power series for an ODE

Related BrainMass Solutions

• Power series solution

  224930 Power series solution Compute the power series solution for the ODE y''+x^2y=0 and determine the radii of convergence for the two series solutions. The solution is in the attached file.

• Fourier series, Fourier Transform and Partial Differential Equation

  Find the complete solution of the ODE ()46sinyy−=. 4. Find a second order ODE whose solution is a family of circle with arbitrary radius and center on the x-axis, i.e., ()22xayb−+= where a and b are arbitrary constants.

• Potential Equation on a Disc : Dirichlet

  form of the solution will be ( 17) I think this is the answer that you are looking for.

• Differential Equation : Space Factor, Time Factor, Eigenvalues and Sturm-Liouville

  (d) Assuming that these are all the eigenvalues, write down in series form the general solution of the boundary value problem above assuming a general initial condition u(x, 0) = f(x).

• solving differential equations

  function is an exponential and we know that exponentials never just appear or disappear in the differentiation process it seems that a likely form of the particular solution would be Now, all that we need to do is do a couple of derivatives, plug

• Legendre's Differential Equation

  Find all solutions to Legendre's differential equation assuming solutions of the form y(x) = Pr(x). Pr(x) is considered the same as Pn(x). A solution is attached. It uses the series solution already worked out.

• Series Solutions of Second Order Linear Equations : Ordinary Point, General Solution, Power Series and Radius of Convergence

  54048 Series Solutions of Second Order Linear Equations Verify that x0=0 is an ordinary point of the differential equation: y''+ xy' + 2y = 0 Find two linearly independent solutions to the differential equation in the form of a power series about x0

• Find General Solutions to a 2nd and 4th Order ODE

  40462 Find General Solutions to a 2nd and 4th Order ODE A) y'''' - 11y''' +45y"-81y'+54y = (t+1)e^(3t) b) y''+y=tcost Please see the attached file for the complete solution. Thanks for using BrainMass.

• First Order Differential Equation.

  26895 Ode (Boundary Condition, Implicit and Explicit Solutions) Consider the ODE y' = y2/x subject to the boundary condition y(1)=1. Find an implicit solution of the form H(x,y) = constant, then find an explicit solution of the form y=y(x).