How can I find at least one first order differential

manhangasto6

manhangasto6

Answered question

2022-02-17

How can I find at least one first order differential equation when the solution for it is y=x4?

Answer & Explanation

lilwayne10j6o

lilwayne10j6o

Beginner2022-02-18Added 8 answers

dydx=4x3 with initial condition that y(0)=0
You can get infinite solutions by introducing some constant terms or some specific f(x), and restricting them with specific initial conditions.
dydx=4x3+k
(where k is some constant)
So,
dy=(4x3+k)dx
integrating both sides,
y=x4+kx+c
Now, use y(0)=0
How about taking
dydx=(4x3+pxq+r)?
y=x4+pxq+11+1+rx+c
Again, y(0)=0

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