Solution Found!
Answer: Flow curves in the plane Let F (x, y) = f(x, y),
Chapter 14, Problem 47AE(choose chapter or problem)
QUESTION:
Streamlines in the plane Let \(\mathbf{F}(x, y)=\langle f(x, y), g(x, y)\rangle\), where be defined on \(\mathbf{R}^{2}\).
Explain why the flow curves or streamlines of F satisfy \(y^{\prime}=g(x, y) / f(x, y)\) and are everywhere tangent to the vector field.
Questions & Answers
QUESTION:
Streamlines in the plane Let \(\mathbf{F}(x, y)=\langle f(x, y), g(x, y)\rangle\), where be defined on \(\mathbf{R}^{2}\).
Explain why the flow curves or streamlines of F satisfy \(y^{\prime}=g(x, y) / f(x, y)\) and are everywhere tangent to the vector field.
ANSWER:Solu