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

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.CR: Chapter 11 Review
Problem 4CR
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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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