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Solve the following initial value problems: (a) x' = -x, y' = x + 2y; x(0) = 0, y(0) = 3.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.2: Linear First-order Differential Equations

Problem 2YT: YOUR TURN Solve the initial value problem dydx+2xyxex2=0 with y(0)=3.

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Question

Question about: LINE SYSTEMS: CONSTANT COEFFICIENTS, REAL EIGENVALUES

The answer has been given, please prove the process

1. Solve the following initial value problems:
(a) x' = -x,
y' = x + 2y;
x (0) = 0, y (0)
=
3.
1. (a) x(t) = 0, y(t)
=
3e²t

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