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Solve, the method of integrating factor: 1, order linear initial value prot 1) 2) 3) (t+1)y' - 2y = 2t, y(0) = 4 4) dy y dx x 21 with y(0)- = cos x, y(n) = 0

Solve, the method of integrating factor: 1, order linear initial value prot 1) 2) 3) (t+1)y' - 2y = 2t, y(0) = 4 4) dy y dx x 21 with y(0)- = cos x, y(n) = 0

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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Q3:a\ Solve, the following 1st-order linear initial value problem differential equations, using the method of integrating factor: 1) ky 21 with y(0) = -3 - (12) y y 3) (t+1)y' - 2y = 2t, y(0) = 4 4) + = cos x, y(n) = 0 dx b\A 1 kg mass is attached to a spring with constant 13N/m. The system is immersed in a medium which offers a damping force numerically equal to 6 times the instantaneous velocity. If x is the displacement of the mass from equilibrium, measured in meters, then x" + 6x' + 13x = 0. Find the general solution describes the displacement of the mass.
Transcribed Image Text:Q3:a\ Solve, the following 1st-order linear initial value problem differential equations, using the method of integrating factor: 1) ky 21 with y(0) = -3 - (12) y y 3) (t+1)y' - 2y = 2t, y(0) = 4 4) + = cos x, y(n) = 0 dx b\A 1 kg mass is attached to a spring with constant 13N/m. The system is immersed in a medium which offers a damping force numerically equal to 6 times the instantaneous velocity. If x is the displacement of the mass from equilibrium, measured in meters, then x" + 6x' + 13x = 0. Find the general solution describes the displacement of the mass.
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