Which of the following equations have exactly one solution?
1 answer:
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Answer:
First Option
Step-by-step explanation:
To graphically add two vectors a and b using the -tail and tip-method, you must draw the tail of b at the tip of the vector a. Then you must draw a line that goes from the tail of a to the tip of b. This line represents the sum of .
In this problem, notice that the tail of the vector w is on the tip of the vector v. The line that joins the tail of v with the tip of w is u.
Therefore we can say that .
The answer is the first option
Suppose the ODE has a solution of the form , with total differential
This ODE is exact if the mixed partial derivatives are equal, i.e.
We have
so the ODE is indeed exact.
Integrating both sides of
with respect to gives
Differentiating both sides with respect to gives
so the general solution to the ODE is
Given that , we find
so that the solution to the IVP is