4. 5. Use the method of Frobenius about the regular singular point x indicial roots and recurrence relation for each root. = 0 to find the 2xy" + y + y = 0 A mass weighing 16 pounds stretches a spring 3 inches. The medium offers a damping force that is numerically equal to 2 times the instantaneous velocity. The mass is released from equilibrium with a downward velocity of 3 inches per second. a. Determine the equation of motion. b. Determine the first time (after t = 0) when the mass first passes through equilibrium. 6. Solve the IVP. y" -8y+15y9te² y(0) = −1, y'(0) = 3 7. Find the general solution of the ODE. x2y" 2y 3x² - 1 = x>0 8. Find the general solution of the ODE. y" +2y' - 24y 12x+9e4x 9. Solve the IVP. y" +12y" +36y' = 0 y(0) = 0, y'(0) = 1, y"(0) = -7 1
4. 5. Use the method of Frobenius about the regular singular point x indicial roots and recurrence relation for each root. = 0 to find the 2xy" + y + y = 0 A mass weighing 16 pounds stretches a spring 3 inches. The medium offers a damping force that is numerically equal to 2 times the instantaneous velocity. The mass is released from equilibrium with a downward velocity of 3 inches per second. a. Determine the equation of motion. b. Determine the first time (after t = 0) when the mass first passes through equilibrium. 6. Solve the IVP. y" -8y+15y9te² y(0) = −1, y'(0) = 3 7. Find the general solution of the ODE. x2y" 2y 3x² - 1 = x>0 8. Find the general solution of the ODE. y" +2y' - 24y 12x+9e4x 9. Solve the IVP. y" +12y" +36y' = 0 y(0) = 0, y'(0) = 1, y"(0) = -7 1
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 43EQ
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