Q2/ Find the orthogonal trajectories of the family of curves x-y - c² YAS

Q: Find the orthogonal trajectories for the family of curves. Use a graphing utility to graph several…

A: Given that : x3 = Cy     -------------(1) The slope of the tangent line at (x,y) is m=y'(x)…

Q: Find the orthogonal trajectories of the family of curves y = ax² + 4ax + 4a, where a being…

A: Orthogonal trajectory: If a curve cuts every member of a given family of curves at right angle, then…

Q: Find the orthogonal trajectories of the family of curves.

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Q: y = x – 2 + Ce* X-

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Q: y = 3x – 1 + Ce-3x | x = Cey?

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Q: Find the orthogonal trajectories of family of curves x-y=cx^2

A: To determine the orthogonal trajectory of the equation f(x,y)=c Find dydx Replace dydx→-dxdy Solve…

Q: Consider the family of curves y I 1+ GI

A: We have y=x1+c1x Differentiate with respect to x: dydx=ddxx1+c1x⇒dydx=1+c1xdxdx-xd1+c1xdx1+c1x2…

Q: Give the family of orthogonal trajectories of y^2=Cx^5+5.

A: To find →Family of orthogonal trajectories of y2=cx2+5 -1

Q: Find the orthogonal trajectories to 4x? = a - 3x*y?

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