How do I set this up to verify?
Verify that the given function is a solution of the given differential equation for A.
y=Ax+x^3, x(dy/dx)=y+2x^3
Verify that the given function is a solution of the given differential equation for A.
y=Ax+x^3, x(dy/dx)=y+2x^3
2 Answers
Take
Explanation:
First, calculate
Now, plug in
Recall that
Multiplying
We have:
#dy/dx = A + 3x^2#
Now substitute:
#x(3x^2 + A) = Ax + x^3 + 2x^3#
#3x^2 + Ax = Ax + 3x^3#
This is clearly true, therefore the
Hopefully this helps!