The solution to a differential equation requires integration. With any integration, there is a constant of integration. This constant can only be found by using additional conditions: initial or boundary.
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That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential
A differential equation is a tool to certains carrers to find and solve all kinds of problems, in my case i'm a civil engineer and i use this tool to solve problems in the area of hidraulics, and in the area of structures. The differencial ecuations have all kinds of uses in the area of engieneering and in other fields too
solve it
If you solve such an equation for "y", you get an equation in the slope-intercept form.