f)[ordinary differential equations; topic] Please solve the following problem Provide a well explained and understandable(readable) Step by step solution solution Solve the following system of differential equations with the given initial conditions, and then, to get credit for the problem,calculate x(0.1) to the nearest thousandth (3 decimal places). In the answer box just put x(0.1). Nothing else.x' = -3x + 3 yy' = -30x + 18 yx(0) = 3y(0) = 9Note.dxx' =dtdydt

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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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[ordinary differential equations; topic] Please solve the following problem Provide a well explained and understandable(readable) Step by step solution solution

Solve the following system of differential equations with the given initial conditions, and then, to get credit for the problem,
calculate x(0.1) to the nearest thousandth (3 decimal places). In the answer box just put x(0.1). Nothing else.
x' = -3x + 3 y
y' = -30x + 18 y
x(0) = 3
y(0) = 9
Note.
dx
x' =
dt
dy
dt

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