## anonymous 5 years ago i need help to solve this step by step. please someone show me how. $W[y_{1},y_{2},y_{3}]=?$ $y_{1}(x)=e^x, y_2(x)=\cos x, y_3(x)= \sin x$

1. anonymous

must find the determinant of the Wronskian matrix detW=?

2. anonymous

W[y1,y2,y3] =/= 0, all 3 solutions are linearly independent.

3. anonymous

| y1 y2 y3 | | y1' y2' y3' | and take the determinate | y1''y2''y3'' |