Use the method for solving homogeneous equations to solve the following differential equation. dx _ 8x² +t√√81²+x² X dt 8tx Ignoring lost solutions, if any, an implicit solution in the form F(t, x) = C is = C, where C is an arbitrary constant. (Type an expression using x and t as the variables.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the method for solving homogeneous equations to solve the following differential equation.
dx _ 8x² +t√√81²+x²
X
dt
8tx
Ignoring lost solutions, if any, an implicit solution in the form F(t, x) = C is = C, where C is an arbitrary constant.
(Type an expression using x and t as the variables.)
Transcribed Image Text:Use the method for solving homogeneous equations to solve the following differential equation. dx _ 8x² +t√√81²+x² X dt 8tx Ignoring lost solutions, if any, an implicit solution in the form F(t, x) = C is = C, where C is an arbitrary constant. (Type an expression using x and t as the variables.)
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