Question

Find the first five nonzero terms in the solution of the given initial value problem.

y′′+xy′+2y=0, y(0)=5, y′(0)=9

**Differential Equations**

Answer #1

Find the first five nonzero terms in the solution of the given
initial value problem.
y′′−xy′−y=0, y(0)=5, y′(0)=8
Enter an exact answer.

Solve the given initial-value problem. (Enter the first three
nonzero terms of the solution.)
(x + 2)y'' +
3y = 0, y(0) =
0, y'(0) = 1

Find the solution of the given initial value problem:
y(4)+2y′′+y=5t+2; y(0)=y′(0)=0, y′′(0)=y'''(0)=1

Differential Equations: Use the Laplace transform to solve the
given initial value problem:
y′′ −2y′ +2y=cost;
y(0)=1,
y′(0)=0

differential equations
find the solution to the initial value problem
y’’ + y(x^2) = 0
y(0) = 0
y’(0) = 0

Find the first four nonzero terms in a power series expansion
about x=0 for the solution to the given initial value problem.
w''+3xw'-w=0; w(0)=8, w'(0)=0

Find the first four nonzero terms in a power series expansion
about x = 0 for a general solution to the given differential
equation
(x2 + 6)y'' + y = 0

Oridinary Differential equations:
given that y=sinx is a solution of
y(4)+2y'''+11y''+2y'+10y=0,
find the general solution of the DE.

Find the solution of the initial value problem
y′′+2y′+5y=16e^−tcos(2t), y(0)=6, y′(0)=0

Find the power series solution around x=0. Find the first few
nonzero terms of each solution. Power series are not necessary to
solve try older methods in addition to power series.
1) y”+x^2y=0

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