Questions from General Calculus

Q: Solve the initial-value problem. 9y'' + 12y' +

Solve the initial-value problem. 9y'' + 12y' + 4y = 0, y (0) = 1, y' (0) = 0

Q: Solve the initial-value problem. 3y'' - 2y' -

Solve the initial-value problem. 3y'' - 2y' - y = 0, y (0) = 0, y' (0) = -4

Q: Solve the initial-value problem. y'' – y' -

Solve the initial-value problem. y'' – y' - 12y = 0, y (1) = 0, y' (1) = 1

Q: Solve the initial-value problem. 4y'' + 4y' +

Solve the initial-value problem. 4y'' + 4y' + 3y = 0, y (0) = 0, y' (0) = 1

Q: Prove each identity, assuming that S and E satisfy the conditions

Prove each identity, assuming that S and E satisfy the conditions of the Divergence Theorem and the scalar functions and components of the vector fields have continuous second-order partial derivative...

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

Solve the boundary-value problem, if possible. y'' + 6y' = 0, y (0) = 1, y (1) = 0

Q: Prove each identity, assuming that S and E satisfy the conditions

Prove each identity, assuming that S and E satisfy the conditions of the Divergence Theorem and the scalar functions and components of the vector fields have continuous second-order partial derivative...

Q: Evaluate the surface integral. ∫∫S F ∙ dS

Evaluate the surface integral. ∫∫S F ∙ dS, where F (x, y, z) = xz i - 2y j + 3x k and S is the sphere x2 + y2 + z2 = 4 with outward orientation

Q: Prove each identity, assuming that S and E satisfy the conditions

Prove each identity, assuming that S and E satisfy the conditions of the Divergence Theorem and the scalar functions and components of the vector fields have continuous second-order partial derivative...

Q: Solve the differential equation. y'' + 2y = 0

Solve the differential equation. y'' + 2y = 0