- #1
Math10
- 301
- 0
Homework Statement
Find the Wronskian of {e^(x)*cos(sqrt(x)), e^(x)*sin(sqrt(x))}.
Homework Equations
W(f, g)=fg'-gf'
The Attempt at a Solution
W(f, g)=(e^(x)*cos(sqrt(x)))(e^(x)*cos(sqrt(x))*1/(2x^1/2))-(e^(x)*sin(sqrt(x)))(-e^(x)*sin(sqrt(x))*1/(2x^1/2)+e^(x)*cos(sqrt(x)))
After simplifying this, I got (e^(2x)(1-2*sqrt(x)*sin(sqrt(x))*cos(sqrt(x)))/(2x^(1/2)). But the correct answer is e^(2x)/(2x^1/2).