Toronto Math Forum

MAT244--2019F => MAT244--Test & Quizzes => Quiz-3 => Topic started by: YUTONG ZHANG on October 11, 2019, 02:01:36 PM

Title: quiz3 tut5103
Post by: YUTONG ZHANG 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)