Solve the equation. dx = 8xt² dt An implicit solution in the form F(t,x) = C is = C, where C is an arbitrary constant. (Type an expression using t and x as the variables.)
Solve the equation. dx = 8xt² dt An implicit solution in the form F(t,x) = C is = C, where C is an arbitrary constant. (Type an expression using t and x as the variables.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![### Differential Equations Exercise
#### Problem Statement
**Solve the equation:**
\[ \frac{dx}{dt} = 8xt^2 \]
#### Solution
An implicit solution in the form \( F(t,x) = C \) is
\[ \boxed{} = C \]
where \( C \) is an arbitrary constant.
*Note: Type an expression using \( t \) and \( x \) as the variables.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feff5a5e2-b243-453e-8506-ee83e62a3be5%2Fa8239cfb-e017-4c4c-a475-31862a7fc1a5%2F0p0b17r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Differential Equations Exercise
#### Problem Statement
**Solve the equation:**
\[ \frac{dx}{dt} = 8xt^2 \]
#### Solution
An implicit solution in the form \( F(t,x) = C \) is
\[ \boxed{} = C \]
where \( C \) is an arbitrary constant.
*Note: Type an expression using \( t \) and \( x \) as the variables.*
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