Question

Please i need it fast ​

Answer 1

Answer:

sec y=(1+x)+ce^x

Step-by-step explanation:

sin y dy/dx-cos y=-x cos² y

sin y dy/dx- cos y= -x cos²y

tan y.sec y. dy/dx- sec y= -x

I.F. = e^-x

By multiplying, we get

e^-x dv/dx-e^-x.v=-x.e^-x

ve^-x=∫-xe^-x dx=xe^-x+e^-x+c=e^-x(x+1)+c

v=(1+x)+ce^x

sec y= (1+x)+ce^x