Mathematics, 17.03.2020 06:24 babydogdog4375
The flow lines (or streamlines) of a vector field are the paths followed by a particle whose velocity field is the given vector field. Thus the vectors in a vector field are tangent to the flow lines. (a) Use a sketch of the vector field F(x, y) = xi β yj to draw some flow lines. From your sketches, can you guess the equations of the flow lines? (b) If parametric equations of a flow line are x = x(t), y = y(t), explain why these functions satisfy the differential equations dx/dt = x and dy/dt = βy. Solve the differential equations to find an equation of the flow line that passes through the point (x, y) = (1, 1).
Answers: 2
Mathematics, 21.06.2019 14:30
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Maria donates a fixed amount, a, to a charity each month. if she donates $300 in 12 months, what is the equation for a? a. a + 300 = 12 b. a Γ 300 = 12 c. a Γ 12 = 300 d. a + 12 = 300 e. a + 32 = 100
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The flow lines (or streamlines) of a vector field are the paths followed by a particle whose velocit...
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