Exam 17: Second-Order Differential Equations

Solve the boundary-value problem, if possible.Select the correct Answer

Solve the boundary-value problem, if possible.

Graph the particular solution and several other solutions.

Solve the initial-value problem.

A spring with a 3-kg mass is held stretched 0.9 m beyond its natural length by a force of 30 N.If the spring begins at its equilibrium position but a push gives it an initial velocity of m/s, find the position x(t) of the mass after t seconds.

A spring with a ass has natural length m and is maintained stretched to a length of m by a force of N.If the spring is compressed to a length of m and then released with zero velocity, find the position of the mass at any time Select the correct Answer

Solve the initial-value problem. .

Use power series to solve the differential equation.

Solve the differential equation using the method of variation of parameters.

Solve the initial-value problem.

Solve the differential equation.Select the correct Answer

Solve the differential equation using the method of variation of parameters.

Solve the initial-value problem.

Solve the boundary-value problem, if possible.

Solve the initial-value problem.Select the correct Answer

Use power series to solve the differential equation.Select the correct Answer

The solution of the initial-value problem is called a Bessel function of order 0.Solve the initial - value problem to find a power series expansion for the Bessel function.

Solve the differential equation.

Solve the differential equation using th e method of variation of parameters.

Graph the particular solution and several other solutions.