find the straight line which satisfies the differential equation dy/dx=m and cut an intercept 3 on the y-axis.
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Given:
The differential equation that the straight line follows = dy/dx = m
Intercept of the straight line on the y-axis.
To find:
The straight line which satisfies the given conditions.
Solution:
On observing the question carefully we may conclude that the slope of the straight line must be dy/dx = m.
Hence from the general equation of straight line y=mx+c, we get the required equation of straight line as:
y = mx + 3
The required equation of straight line is y = mx + 3.
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