The equation for a planar line is y=mx+b . Note that the slope for a straight line is the same for any given point, which makes it unique. Since this is the case, we can replace m with a the derivative of the function.
y=mx+b
⟹y=dydxx+b
This is a differential equation. Since we are told that the line passes through the origin, our function will have a y -intercept of 0.
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Answer:
The equation for a planar line is y=mx+b . Note that the slope for a straight line is the same for any given point, which makes it unique. Since this is the case, we can replace m with a the derivative of the function.
y=mx+b
⟹y=dydxx+b
This is a differential equation. Since we are told that the line passes through the origin, our function will have a y -intercept of 0.
y=dydxx
And this is our answer.
Step-by-step explanation:
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