Question

Use a change of variable to find solutions for   $\frac{\mathrm{d} y}{\mathrm{d} x}=sin^2(x-y)$ .

Hint: Let u = x – y

Answer 1

oby Sun 2c7-y) - 0 Substitute Uzx-y (7-) 3862- hele la care este Now Put the value of u and dye in ② oyna Sin? (2-y) l-du 2 Sin? cuo 9.1 - Sin? (W) » du :Worlas de cuatro Consti] an du a dx Integrating Both sides se eu > fox - Sfece u du = x+c s le fann)= fec? x] . L Sec? sa tenx y " a Sin²ut 6?u= 62ual-Sinzu G24 Gldes ) tan ü . xtc L

20 tan (x-4)=xte fulx-y] 50 tan (x-4)= x+c) or is the reqp. Solution (2-y)? tom'(X+6). - 9 = x - tan-'(4+0)]