(-4x -6 y)dy -(-6 x+4y)dx=0 a) Show that the differential equation is exact; b) Find a general solution to the given equation; c) Solve the initial value problem y (4) = − 3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following differential
equation:
(− 4 x −6 y)dy − (− 6 x + 4 y)dx = 0
a) Show that the differential equation is
exact;
b) Find a general solution to the given
equation;
c) Solve the initial value problem
y (4)= -3.
Transcribed Image Text:Consider the following differential equation: (− 4 x −6 y)dy − (− 6 x + 4 y)dx = 0 a) Show that the differential equation is exact; b) Find a general solution to the given equation; c) Solve the initial value problem y (4)= -3.
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