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(1) (12 pts) Solve the following initial value problem: dy = 2t+3 y2 = 3 {y (1) (2) (12 pts) Use Euler's method with At = 0.5 to approximate y(3) of the initial value problem: dy dt { (1) = y-t = 2 (3) (12 pts) Use extended linearity principle to find the general solution to the following linear differential equation: dy dt = 6y+ sin(3t) (4) (12 pts) Use integrating factor method to find the general solution to the following linear differential equation: dy 2 dt = -y + t4

(1) (12 pts) Solve the following initial value problem: dy = 2t+3 y2 = 3 {y (1) (2) (12 pts) Use Euler's method with At = 0.5 to approximate y(3) of the initial value problem: dy dt { (1) = y-t = 2 (3) (12 pts) Use extended linearity principle to find the general solution to the following linear differential equation: dy dt = 6y+ sin(3t) (4) (12 pts) Use integrating factor method to find the general solution to the following linear differential equation: dy 2 dt = -y + t4

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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(1) (12 pts) Solve the following initial value problem: dy = 2t+3 y2 = 3 {y (1) (2) (12 pts) Use Euler's method with At = 0.5 to approximate y(3) of the initial value problem: dy dt { (1) = y-t = 2 (3) (12 pts) Use extended linearity principle to find the general solution to the following linear differential equation: dy dt = 6y+ sin(3t) (4) (12 pts) Use integrating factor method to find the general solution to the following linear differential equation: dy 2 dt = -y + t4
Transcribed Image Text:(1) (12 pts) Solve the following initial value problem: dy = 2t+3 y2 = 3 {y (1) (2) (12 pts) Use Euler's method with At = 0.5 to approximate y(3) of the initial value problem: dy dt { (1) = y-t = 2 (3) (12 pts) Use extended linearity principle to find the general solution to the following linear differential equation: dy dt = 6y+ sin(3t) (4) (12 pts) Use integrating factor method to find the general solution to the following linear differential equation: dy 2 dt = -y + t4
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