Please help me with this.
1 answer:
It is possible for two different inputs to give you the same output. For example, -2 and 2 produce the same result: 5.
it is not possible to derive two different outputs from the same input. This is because a) is a function making it impossible to have two outputs and b) for each value, if you square it, you only get one value, then adding one, making it one certain value.
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Answer:
Step-by-step explanation:
You have the following differential equation:
This equation can be written as:
where
If the differential equation is exact, it is necessary the following:
Then, you evaluate the partial derivatives:
The partial derivatives are equal, then, the differential equation is exact.
In order to obtain the solution of the equation you first integrate M or N:
(1)
Next, you derive the last equation respect to t:
however, the last derivative must be equal to M. From there you can calculate g(t):
Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:
where C is the constant of integration