- #1
manal950
- 177
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Hi
answer b
I forget first step
2aydy/dx = 3x^2
please can check my answer
answer b
I forget first step
2aydy/dx = 3x^2
please can check my answer
The concept of orthogonal trajectories refers to a set of curves that intersect a given family of curves at right angles. In other words, the tangent lines of the orthogonal trajectories are perpendicular to the tangent lines of the original curves.
Orthogonal trajectories are important in mathematics because they can be used to solve various problems in fields such as physics, engineering, and economics. They also have applications in curve fitting and optimization.
Orthogonal trajectories can be determined by using the differential equation of the original family of curves. The slopes of the orthogonal trajectories can be found by taking the negative reciprocal of the slopes of the original curves.
Isoclines are curves that represent equal values of a function, while orthogonal trajectories are curves that intersect these isoclines at right angles. This means that the curves of orthogonal trajectories are perpendicular to the curves of isoclines.
No, orthogonal trajectories can only exist for families of curves that satisfy certain conditions. These conditions include the existence of a differential equation and the curves being smooth and continuous.