In the most general setup, a first-order differential equation can be written as f (x, y, y’) = 0. There is no general way to solve it. It cannot be solved unless it has one of the specific forms
has the solution u _1 ( t )=1- t and u _2 ( t )= (-1/4) t ². The existence of two solutions to this nonlinear initial-value problem is in stark contrast to the uniqueness theorem
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First Order Linear and Nonlinear Differential Equations First-order linear equation is the result of usage of product rule and solved through multiplying the left side factor through integrating. A
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To solve a math equation, you need to decide what operation to perform on each side of the equation.