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snshusat161
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Homework Statement
y= a x3 + b x2
Homework Equations
The Attempt at a Solution
There are two arb. constants, so I differentiated it twice. I couldn't guess what next to do. I Need your help!
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To form a differential equation from a given equation, you need to differentiate the given equation with respect to one or more variables. This will result in an equation that includes the derivatives of the variables, which is known as a differential equation.
No, not all equations can be transformed into a differential equation. Only equations that contain variables and their derivatives can be transformed into a differential equation.
Differential equations are used to model and describe various physical phenomena and processes in fields such as physics, engineering, and biology. They are essential in understanding and predicting the behavior of these systems.
Yes, there are several methods for forming a differential equation, such as separation of variables, substitution, and the method of undetermined coefficients. The choice of method depends on the given equation and the variables involved.
Yes, differential equations can be solved to find a specific solution. However, the process of solving a differential equation can be complex and may require the use of advanced mathematical techniques, such as integration or solving systems of equations.