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3. 4. 5. Solve the IVP. Answer in explicit form. State the interval of validity for your solution. dy x +2y dx = sinx x y(2) = 1 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"-2y1 = 3x²-1 x > 0 8. Find the general solution of the ODE. y" +2y24y=12x+9-e4x 9. Solve the IVP. y"" +12y" +36y' = 0 y(0) = 0, y'(0) = 1, y"(0) = −7 1

3. 4. 5. Solve the IVP. Answer in explicit form. State the interval of validity for your solution. dy x +2y dx = sinx x y(2) = 1 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"-2y1 = 3x²-1 x > 0 8. Find the general solution of the ODE. y" +2y24y=12x+9-e4x 9. Solve the IVP. y"" +12y" +36y' = 0 y(0) = 0, y'(0) = 1, y"(0) = −7 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. 4. 5. Solve the IVP. Answer in explicit form. State the interval of validity for your solution. dy x +2y dx = sinx x y(2) = 1 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"-2y1 = 3x²-1 x > 0 8. Find the general solution of the ODE. y" +2y24y=12x+9-e4x 9. Solve the IVP. y"" +12y" +36y' = 0 y(0) = 0, y'(0) = 1, y"(0) = −7 1
Transcribed Image Text:3. 4. 5. Solve the IVP. Answer in explicit form. State the interval of validity for your solution. dy x +2y dx = sinx x y(2) = 1 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"-2y1 = 3x²-1 x > 0 8. Find the general solution of the ODE. y" +2y24y=12x+9-e4x 9. Solve the IVP. y"" +12y" +36y' = 0 y(0) = 0, y'(0) = 1, y"(0) = −7 1
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