Graphing orthogonal trajectories
WebOct 21, 2024 · Find the orthogonal trajectories of the family of curves. y 2 = k x 3 Take the derivative, d d x 2 y = k 3 x 2 d y d x 2 y k 3 x 2 = d y d x Bring in k 2 y y 2 x 3 3 x 2 = d y d x Simplify 2 y x 3 k 3 x 2 y 2 = 2 x 3 y … Web1. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) y2 = 7 kx3 2. Solve the initial-value problem y' = (5 sin x )/sin y, y (0) = π /2. Expert Answer 100% (19 ratings) Previous question Next question Get more help from Chegg Solve it with our calculus problem solver and calculator
Graphing orthogonal trajectories
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Webtrajectory of the other family, then the two families are said to be orthogonal trajectories. A procedure for finding a family of orthogonal trajectories G(x,y,K) = 0 for a given family of curves F(x,y,C) = 0 is as follows: Step 1. Determine the differential equation for the given family F(x,y,C)=0. Step 2. Replace y0 in that equation by −1 ... WebCompute the orthogonal trajectories of the family F of the curves given by y 2=cx 3, where c is a arbitrary constant. A y 2+ 3x 2=c B y 2+ 4x 2=c C y 2+ 3x 3=c D None of these Medium Solution Verified by Toppr Correct option is D) Given equations of the family of curves is y 2=cx 3 c is an arbitrary constant.
WebFind the orthogonal trajectories of the family of curves. (Use C for any needed constant.) y^2 = 4kx^3 This problem has been solved! You'll get a detailed solution from a subject … WebUse a graphing device to draw several members of each family on a common screen. x2 +2y2 = k2 Solution To find the orthogonal trajectories, ... Therefore, the orthogonal trajectories are the family of parabolas centered at the origin. www.stemjock.com. Stewart Calculus 8e: Section 9.3 - Exercise 29 Page 2 of 2 - 4 - 2 0 2 4 - 4 - 2 0 2 4
WebFind the orthogonal trajectories of the family. Use a graphing utility to graph several members of each family. x2 + y2 = C Step-by-step solution Step 1 of 3 Given equation is …
WebQuestion: Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) x^2 + 2y^2 = 5 k^2 Use a graphing device to draw several members of each family on a common screen. This problem has been solved! See the answer Show transcribed image text Expert Answer 100% (11 ratings)
WebMar 3, 2024 · Finding Orthogonal Trajectories. Step 1. Find a differential equation \[y'=f(x,y) \nonumber \] for the given family. Step 2. Solve the differential equation \[y'=-{1\over f(x,y)} \nonumber \] to find the … towering over the east riverWebFind the orthogonal trajectories of the family of curves y= cx3 c x 3 Graph some examples of both families of curves. You can use Wolfram Alpha or any other graphing tool to create the... power apps share a solutionWebThe common approach for determining orthogonal trajectories is based on solving the partial differential equation: where the symbol means the gradient of the function or and … power apps share an appWebExample 2. Find the orthogonal trajectories to the family of curves y= cxn, where n is a fixed positive integer and can arbitrary constant. Solution. If n= 1, the curves are the family of rays from the origin, so the orthogonal trajectories should be the circles centered at the origin – this will help check our work. powerapps share app with security groupWebPart A. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) x2 + 2y2 = 17k2 Part B. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) y2 = 7kx3 This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. toweringpantsWebThis problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) y2 = 6kx3 Use a graphing device to draw several members of each family on a common screen. - X 5 -5. towering over someoneWebMY NOTE Find the orthogonal trajectories of the family of curves. y2 = kx3 Graph several members of each family on a common screen. у This problem has been solved! You'll … powerapps share app with group