Questions from General Calculus

Q: Solve the initial-value problem. y'' - 6y' +

Solve the initial-value problem. y'' - 6y' + 25y = 0, y (0) = 2, y'(0) = 1

Q: Solve the initial-value problem. y'' - 5y' +

Solve the initial-value problem. y'' - 5y' + 4y = 0, y (0) = 0, y'(0) = 1

Q: Solve the initial-value problem. 9y'' + y =

Solve the initial-value problem. 9y'' + y = 3x + e-x, y (0) = 1, y'(0) = 2

Q: Solve the boundary-value problem, if possible. y''

Solve the boundary-value problem, if possible. y'' + 4y' + 29y = 0, y (0) = 1, y (π) = -1

Q: (a). Write the definition of the line integral of a

(a). Write the definition of the line integral of a scalar function f along a smooth curve C with respect to arc length. (b). How do you evaluate such a line integral? (c). Write expressions for the m...

Q: Solve the boundary-value problem, if possible. y''

Solve the boundary-value problem, if possible. y'' + 4y' + 29y = 0, y (0) = 1, y (π) = -e-2 π

Q: Use power series to solve the initial-value problem y''

Use power series to solve the initial-value problem y'' + xy' + y = 0 y (0) = 0 y'(0) = 1

Q: Use power series to solve the differential equation y'' – xy'

Use power series to solve the differential equation y'' – xy' - 2y = 0

Q: A series circuit contains a resistor with R = 40 V,

A series circuit contains a resistor with R = 40 V, an inductor with L = 2 H, a capacitor with C = 0.0025 F, and a 12-V battery. The initial charge is Q = 0.01 C and the initial current is 0. Find the...

Q: A spring with a mass of 2 kg has damping constant 16

A spring with a mass of 2 kg has damping constant 16, and a force of 12.8 N keeps the spring stretched 0.2 m beyond its natural length. Find the position of the mass at time t if it starts at the equi...