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Solving Differential Equations
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An introduction to differential equations and how to solve them.
Want a deeper conceptual understanding? Try our interactive lesson!
Separable Variables
AHL AI 5.14
When you have a differential equation in the form
dxdy=f(x)g(y)🚫
you can bring all the y's to one side and all the x's to the other:
g(y)1dy=f(x)dx🚫
∫g(y)1dy=∫f(x)dx🚫
Particular Solutions
AHL AI 5.14
The solutions to differential equations will usually contain a constant of integration +C. These are called general solutions.
Often, we are given an initial condition, ie the value of y for a specific x, which we can use to solve for C. The result is the particular solution.
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