Euler's method for differential equations (estimation)

73 Views Asked by At

Is it true that if a curve is increasing, Euler's method will always underestimate an actual solution?

So if a curve is either increasing and concave down, or increasing and concave up, we can simply ignore concavity and justify the answer based on the fact that it's increasing?

Euler's method will therefore underestimate whenever the function is concave down and increasing, or concave up and increasing?