Consider the two equations x² + 4y² – 9 = 0 and 18y - 14x2 + 45 = 0. (a) Graph the two equations together in the range [-4, 4] x [-4, 4] using different colors, different line styles, a thickness of 3, and the same scale for the two variables x and y. (b) Solve the system of equations. (c) Verify that the values of the first solution you obtained in (b) satisfy the equations in the system.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(2) Consider the two equations x2 + 4y2 – 9 = 0 and 18y – 14x2 + 45 = 0.
(a) Graph the two equations together in the range [-4, 4] × [-4, 4] using different colors, different
line styles, a thickness of 3, and the same scale for the two variables x and y.
(b) Solve the system of equations.
(c) Verify that the values of the first solution you obtained in (b) satisfy the equations in the
system.
Transcribed Image Text:(2) Consider the two equations x2 + 4y2 – 9 = 0 and 18y – 14x2 + 45 = 0. (a) Graph the two equations together in the range [-4, 4] × [-4, 4] using different colors, different line styles, a thickness of 3, and the same scale for the two variables x and y. (b) Solve the system of equations. (c) Verify that the values of the first solution you obtained in (b) satisfy the equations in the system.
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