Question

Find the power series solution of the following differential equation.

y''-xy'=e^{-x}

Answer #1

Find the power series solution of the differential equation
y"-xy'+6y=0 about the ordinary point x=0

1. Find the general solution to the differential equation y''+
xy' + x^2 y = 0 using power series techniques

Find two solutions of a power series for the differential
equation y'' - xy = 0 surrounding the ordinary point x=0

Power series
Find the particular solution of the differential equation:
(x^2+1)y"+xy'-4y=0 given the boundary conditions x=0, y=1 and y'=1.
Use only the 7th degree term of the solution. Solve for y at x=2.
Write your answer in whole number.

Find the solution of the Differential Equation
X^2y''-xy'+y=x

Find the solution of the nonlinear differential equation in
terms of an infinite power series and derive a formula for the
coefficients of the power series expansion for y(x).
y'' - x*y = 0

Solve the following differential equation using the Power Series
method y''+xy'+y=0. Calculate the value of a2, if a0=9.3.

find the minimum convergence radius of the solutions on power
series of the differential equation (x^2 -2x+10)y''+xy'-4y=0
surrounding the ordinary point x=1

Let y=2−3x+∑n=2∞an x power n be the power series solution of the differential equation:
y″+6xy′+6y=0 about x=0. Find a4.

Solve the differential equation y"(x)+9xy(x)=0 by assuming the
solution is a power series. Be sure to clearly indicate the
recursion relationship

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