(2) Find the differential equation by eliminating the parameters C₁ and C₂ from the equation y = C₁e 8t + C₂est

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(2) Find the differential equation by eliminating the parameters C₁ and C₂ from the equation y = C₁e
-8t
dy
dx
(3) Find the general solution of the differential equation:
(4) Find the general solution of the homogenous differential equation : (x²y - 8xy²) dx = (x³ - 9x²y)dy.
+ C₂est
=
(64 +64x² + 64y²x² + 64y²) by using variable separable method.
Transcribed Image Text:(2) Find the differential equation by eliminating the parameters C₁ and C₂ from the equation y = C₁e -8t dy dx (3) Find the general solution of the differential equation: (4) Find the general solution of the homogenous differential equation : (x²y - 8xy²) dx = (x³ - 9x²y)dy. + C₂est = (64 +64x² + 64y²x² + 64y²) by using variable separable method.
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