2. Find the general solution of the differential equation. field, defined by the differential equation, and several 1 (a) x' = t² (b) x' = cost Bay (c) x' = = t
What is Slope Field:
Slope fields are a graphical representation of the solutions of a first-order differential equation of a scalar function, commonly known as direction fields. Functions depicted as solid curves are solutions to a slope field. In order to determine the estimated tangent slope at a point on a curve, where the curve is some solution to the differential equation, one can use a slope field, which displays the slope of a differential equation at specific vertical and horizontal intervals on the x-y plane.
Given:
Given differential equations are
To Determine:
We determine the general solution of given differential equations. Then, we draw the direction field containing several particular solutions.
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