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YUTONG ZHANG

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quiz3 tut5103
« on: October 11, 2019, 02:01:36 PM »
Q: find the wronskian of the given pair of function:x, xe^x

Answer:
y1(x)=x
y1'(x)=1
y2(x)=xe^x
y2'(x)=e^x+xe^x

w= | x    xe^x       
        1   e^x+xe^x |

=x(e^x+xe^x )-xe^x=xe^x+(x^2)(e^x)-xe^x
=(x^2)(e^x)