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Consider the system of differential equations dx dt = -5y = dy dt =−52. Convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for a from the first equation. x Solve the equation you obtained for y as a function of t; hence find a as a function of t. If we also require x(0) = 2 and y(0) = 1, what are x and y? x(t) = y(t) =

Consider the system of differential equations dx dt = -5y = dy dt =−52. Convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for a from the first equation. x Solve the equation you obtained for y as a function of t; hence find a as a function of t. If we also require x(0) = 2 and y(0) = 1, what are x and y? x(t) = y(t) =

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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Consider the system of differential equations x (t) || y(t) = dx dt = = Convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for x from the first equation. I- - 5y Solve the equation you obtained for y as a function of t; hence find x as a function of t. If we also require x(0) = 2 and y(0) = 1, what are x and y? dy dt = −52.
Transcribed Image Text:Consider the system of differential equations x (t) || y(t) = dx dt = = Convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for x from the first equation. I- - 5y Solve the equation you obtained for y as a function of t; hence find x as a function of t. If we also require x(0) = 2 and y(0) = 1, what are x and y? dy dt = −52.
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