Solve the differential equation dy da - y²+7xy+16x² x² a. x + y = O b. x Y = ; when x = 1, y = 1 5 (4y + x) In y 5 (y + 4x) ln x 5/21 Ar) In u

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Solve the differential equation with homogenous coefficient. Provide a test for homogeneity. Provide a complete solution. Use a handwritten and step-by-step calculation without the use of calculator. Explain the process and simplify your answer.
Solve the differential equation
dy
dx
O a. x + y =
O
b. x - y
c.
y²+7xy+16x²
x²
x + y
O d. x
-
=
=
; when x = 1, y=1
5 (4y + x) In y
5 (y + 4x) ln x
5 (y + 4x) In y
y = 5 (4y + x) In x
Transcribed Image Text:Solve the differential equation dy dx O a. x + y = O b. x - y c. y²+7xy+16x² x² x + y O d. x - = = ; when x = 1, y=1 5 (4y + x) In y 5 (y + 4x) ln x 5 (y + 4x) In y y = 5 (4y + x) In x
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