4. Identify whether y' - 3y = 6 is a linear differential equation or a Bernoulli equation, and solve it.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Identify whether y' - 3y = 6 is a linear differential equation or a Bernoulli equation,
and solve it.
5. Solve y" + 4y' + 5y = 0. (1
6. Show that x (t) = -2c₂²-₂³ and y(t) = ₁²t
the following system of differential equations.
are the solutions to
Dx + (D+2) y = 0
(D-3)x - 2y = 0
Hint: Rewrite the differential equations back in the form of Leibniz notation.
Transcribed Image Text:4. Identify whether y' - 3y = 6 is a linear differential equation or a Bernoulli equation, and solve it. 5. Solve y" + 4y' + 5y = 0. (1 6. Show that x (t) = -2c₂²-₂³ and y(t) = ₁²t the following system of differential equations. are the solutions to Dx + (D+2) y = 0 (D-3)x - 2y = 0 Hint: Rewrite the differential equations back in the form of Leibniz notation.
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