Antiderivative of a function of the antiderivative I've got <mi mathvariant="norm

Quintin Stafford

Quintin Stafford

Answered question

2022-06-09

Antiderivative of a function of the antiderivative
I've got y ( x ( t ) , t ) t = c ( x ( t ) y ( x , t ) )
Let's consider the general case where y ( t ) t = f ( y ( t ) )
Given that the derivative depends on the original, how do I get the antiderivative?

Answer & Explanation

Alisa Gilmore

Alisa Gilmore

Beginner2022-06-10Added 22 answers

Explanation:
Your equation y t f ( y ) = 0 contains both the function y and its partial derivative regarding time y t , such is called a partial differential equation (PDE) in this case a first order non-linear PDE.
This is a vast field with a multitude of solution techniques.

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