General solution to differential equation dy/dx=100x+xy

1 answer:

8 0

Dy/dx - xy = 100x

this a first order linear differential equation which can be solved using an integrating factor.

I. F. = e^INT(-xdx) = e^(-1/x^2)

now multiply each term by the IF to solve it

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Find the coordinates of a point on the directed segment from (-3,6) to (7,1) that divides it into a ratio of 3:1.

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To divide a directed segment, we need to divide the length of the segment, along the x and the y directions separately. Then add the subdivided segment to the starting point of the directed segment (-3,6) to get the point of division.

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