Question #020d3

1 Answer
Mar 20, 2017

y = 10 sqrt(x) + 3

Explanation:

In math-speak you have:

y' = alpha/sqrtx where alpha is some constant

Compared to your other stuff, This is simple power rule material:

int x^n dx = (x^(n+1))/(n+1) + C

It solves as:

y = 2 alpha sqrt(x) + beta

  • Applying the (0,3) condition:

3 = 0 + beta implies beta = 3

  • Applying the (4,23) condition:

23 = 2 alpha cdot (pm 2) + 3 implies alpha = pm 5

implies y = pm 10 sqrt(x) + 3

But it has to go through (4,23) so it is:

implies y = 10 sqrt(x) + 3